Search a number
-
+
3455801116920 = 233454126014763
BaseRepresentation
bin110010010010011101110…
…011000100100011111000
3110020101000201111002110000
4302102131303010203320
5423104440041220140
611203323443153000
7504446654553135
oct62223563044370
913211021432400
103455801116920
111112662702129
12479910975760
131c0b5aa20c09
14bd39402758c
155ed5ee31a30
hex3249dcc48f8

3455801116920 has 160 divisors (see below), whose sum is σ = 11898632758320. Its totient is φ = 899070174720.

The previous prime is 3455801116903. The next prime is 3455801116939. The reversal of 3455801116920 is 296111085543.

It is a happy number.

3455801116920 is a `hidden beast` number, since 3 + 4 + 5 + 580 + 1 + 1 + 1 + 69 + 2 + 0 = 666.

It is a super-2 number, since 2×34558011169202 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 12874542 + ... + 13140221.

Almost surely, 23455801116920 is an apocalyptic number.

3455801116920 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3455801116920 is an abundant number, since it is smaller than the sum of its proper divisors (8442831641400).

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

3455801116920 is a wasteful number, since it uses less digits than its factorization.

3455801116920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26014827 (or 26014814 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 3455801116920 in words is "three trillion, four hundred fifty-five billion, eight hundred one million, one hundred sixteen thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 41 45 54 60 72 81 82 90 108 120 123 135 162 164 180 205 216 246 270 324 328 360 369 405 410 492 540 615 648 738 810 820 984 1080 1107 1230 1476 1620 1640 1845 2214 2460 2952 3240 3321 3690 4428 4920 5535 6642 7380 8856 11070 13284 14760 16605 22140 26568 33210 44280 66420 132840 26014763 52029526 78044289 104059052 130073815 156088578 208118104 234132867 260147630 312177156 390221445 468265734 520295260 624354312 702398601 780442890 936531468 1040590520 1066605283 1170664335 1404797202 1560885780 1873062936 2107195803 2133210566 2341328670 2809594404 3121771560 3199815849 3511993005 4214391606 4266421132 4682657340 5333026415 5619188808 6399631698 7023986010 8428783212 8532842264 9365314680 9599447547 10535979015 10666052830 12799263396 14047972020 15999079245 16857566424 19198895094 21071958030 21332105660 25598526792 28095944040 28798342641 31998158490 38397790188 42143916060 42664211320 47997237735 57596685282 63996316980 76795580376 84287832120 86395027923 95994475470 115193370564 127992633960 143991713205 172790055846 191988950940 230386741128 287983426410 345580111692 383977901880 431975139615 575966852820 691160223384 863950279230 1151933705640 1727900558460 3455801116920