Search a number
-
+
23720115258540 = 223253120632060551
BaseRepresentation
bin1010110010010110001010…
…00010110100010010101100
310002222121202121122012002100
411121023011002310102230
511102112244001233130
6122240512010455100
74665502366002111
oct531130502642254
9102877677565070
1023720115258540
11761570a754918
1227b114a734490
131030a497b21cc
145c00b9b84908
152b20345b8c60
hex1592c50b44ac

23720115258540 has 144 divisors (see below), whose sum is σ = 74308054818816. Its totient is φ = 6118349904000.

The previous prime is 23720115258527. The next prime is 23720115258547. The reversal of 23720115258540 is 4585251102732.

23720115258540 is a `hidden beast` number, since 2 + 3 + 7 + 2 + 0 + 1 + 1 + 52 + 58 + 540 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (23720115258547) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10481265 + ... + 12541815.

It is an arithmetic number, because the mean of its divisors is an integer number (516028158464).

Almost surely, 223720115258540 is an apocalyptic number.

23720115258540 is a gapful number since it is divisible by the number (20) 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 23720115258540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37154027409408).

23720115258540 is an abundant number, since it is smaller than the sum of its proper divisors (50587939560276).

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

23720115258540 is a wasteful number, since it uses less digits than its factorization.

23720115258540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2062660 (or 2062655 counting only the distinct ones).

The product of its (nonzero) digits is 672000, while the sum is 45.

The spelling of 23720115258540 in words is "twenty-three trillion, seven hundred twenty billion, one hundred fifteen million, two hundred fifty-eight thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 31 36 45 60 62 90 93 124 155 180 186 279 310 372 465 558 620 930 1116 1395 1860 2063 2790 4126 5580 6189 8252 10315 12378 18567 20630 24756 30945 37134 41260 61890 63953 74268 92835 123780 127906 185670 191859 255812 319765 371340 383718 575577 639530 767436 959295 1151154 1279060 1918590 2060551 2302308 2877885 3837180 4121102 5755770 6181653 8242204 10302755 11511540 12363306 18544959 20605510 24726612 30908265 37089918 41211020 61816530 63877081 74179836 92724795 123633060 127754162 185449590 191631243 255508324 319385405 370899180 383262486 574893729 638770810 766524972 958156215 1149787458 1277541620 1916312430 2299574916 2874468645 3832624860 4250916713 5748937290 8501833426 11497874580 12752750139 17003666852 21254583565 25505500278 38258250417 42509167130 51011000556 63763750695 76516500834 85018334260 127527501390 131778418103 153033001668 191291252085 255055002780 263556836206 382582504170 395335254309 527113672412 658892090515 765165008340 790670508618 1186005762927 1317784181030 1581341017236 1976676271545 2372011525854 2635568362060 3953352543090 4744023051708 5930028814635 7906705086180 11860057629270 23720115258540