Search a number
-
+
182845457291920 = 245149191308925999
BaseRepresentation
bin101001100100110000000110…
…100001111101101010010000
3212222101212002022001211111211
4221210300012201331222100
5142431214444031320140
61444514013220145504
753341101612220603
oct5144600641755220
9788355068054454
10182845457291920
1153295360963045
1218610811838294
137b0433907aa57
143321aa588633a
15162136b1452ea
hexa64c0687da90

182845457291920 has 160 divisors (see below), whose sum is σ = 430365312000000. Its totient is φ = 72240796508160.

The previous prime is 182845457291869. The next prime is 182845457291921. The reversal of 182845457291920 is 29192754548281.

It is a super-2 number, since 2×1828454572919202 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (182845457291921) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7032775081 + ... + 7032801079.

It is an arithmetic number, because the mean of its divisors is an integer number (2689783200000).

Almost surely, 2182845457291920 is an apocalyptic number.

182845457291920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 182845457291920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215182656000000).

182845457291920 is an abundant number, since it is smaller than the sum of its proper divisors (247519854708080).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

182845457291920 is a wasteful number, since it uses less digits than its factorization.

182845457291920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29441 (or 29435 counting only the distinct ones).

The product of its (nonzero) digits is 116121600, while the sum is 67.

The spelling of 182845457291920 in words is "one hundred eighty-two trillion, eight hundred forty-five billion, four hundred fifty-seven million, two hundred ninety-one thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 149 191 298 382 596 745 764 955 1192 1490 1528 1910 2384 2980 3056 3089 3820 5960 6178 7640 11920 12356 15280 15445 24712 25999 28459 30890 49424 51998 56918 61780 103996 113836 123560 129995 142295 207992 227672 247120 259990 284590 415984 455344 460261 519980 569180 589999 920522 1039960 1138360 1179998 1841044 2079920 2276720 2301305 2359996 2949995 3682088 3873851 4602610 4719992 4965809 5899990 7364176 7747702 9205220 9439984 9931618 11799980 15495404 18410440 19369255 19863236 23599960 24829045 30990808 36820880 38738510 39726472 47199920 49658090 61981616 77477020 79452944 80310911 87909851 99316180 154954040 160621822 175819702 198632360 309908080 321243644 351639404 397264720 401554555 439549255 642487288 703278808 739905541 803109110 879098510 1284974576 1406557616 1479811082 1606218220 1758197020 2959622164 3212436440 3516394040 3699527705 5919244328 6424872880 7032788080 7399055410 11838488656 11966325739 14798110820 15339384001 23932651478 29596221640 30678768002 47865302956 59192443280 59831628695 61357536004 76696920005 95730605912 119663257390 122715072008 153393840010 191461211824 239326514780 245430144016 306787680020 478653029560 613575360040 957306059120 1227150720080 2285568216149 4571136432298 9142272864596 11427841080745 18284545729192 22855682161490 36569091458384 45711364322980 91422728645960 182845457291920