Search a number
-
+
102556426544 = 241113313739079
BaseRepresentation
bin101111110000011010…
…1101110000100110000
3100210201100000021012022
41133200311232010300
53140013421122134
6115040324051012
710260305146055
oct1374065560460
9323640007168
10102556426544
113a54847a210
1217a61b33a68
139895337480
144d6c79d02c
152a038ae52e
hex17e0d6e130

102556426544 has 160 divisors (see below), whose sum is σ = 247490826240. Its totient is φ = 40516070400.

The previous prime is 102556426517. The next prime is 102556426547. The reversal of 102556426544 is 445624655201.

It is a super-3 number, since 3×1025564265443 (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 102556426495 and 102556426504.

It is not an unprimeable number, because it can be changed into a prime (102556426547) 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, 2604797 + ... + 2643875.

It is an arithmetic number, because the mean of its divisors is an integer number (1546817664).

Almost surely, 2102556426544 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102556426544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123745413120).

102556426544 is an abundant number, since it is smaller than the sum of its proper divisors (144934399696).

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

102556426544 is a wasteful number, since it uses less digits than its factorization.

102556426544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39179 (or 39173 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 44.

The spelling of 102556426544 in words is "one hundred two billion, five hundred fifty-six million, four hundred twenty-six thousand, five hundred forty-four".

Divisors: 1 2 4 8 11 13 16 22 26 31 37 44 52 62 74 88 104 124 143 148 176 208 248 286 296 341 403 407 481 496 572 592 682 806 814 962 1144 1147 1364 1612 1628 1924 2288 2294 2728 3224 3256 3848 4433 4588 5291 5456 6448 6512 7696 8866 9176 10582 12617 14911 17732 18352 21164 25234 29822 35464 39079 42328 50468 59644 70928 78158 84656 100936 119288 156316 164021 201872 238576 312632 328042 429869 508027 625264 656084 859738 1016054 1211449 1312168 1445923 1719476 2032108 2422898 2624336 2891846 3438952 4064216 4845796 5588297 5783692 6877904 8128432 9691592 11176594 11567384 13325939 15748837 15905153 18796999 19383184 22353188 23134768 26651878 31497674 31810306 37593998 44706376 44823613 53303756 62995348 63620612 75187996 89412752 89647226 106607512 125990696 127241224 150375992 173237207 179294452 206766989 213215024 251981392 254482448 300751984 346474414 358588904 413533978 493059743 582706969 692948828 717177808 827067956 986119486 1165413938 1385897656 1654135912 1972238972 2330827876 2771795312 3308271824 3944477944 4661655752 6409776659 7888955888 9323311504 12819553318 25639106636 51278213272 102556426544