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172939266456 = 23311277172
BaseRepresentation
bin1010000100001111111…
…0111100100110011000
3121112101102201222200220
42201003332330212120
510313134423011311
6211240332400040
715331411340055
oct2410376744630
9545342658626
10172939266456
1167385786600
1229625016020
1313400b957c8
14852819002c
1547728e4206
hex2843fbc998

172939266456 has 72 divisors (see below), whose sum is σ = 475287259860. Its totient is φ = 52399047360.

The previous prime is 172939266419. The next prime is 172939266463. The reversal of 172939266456 is 654662939271.

172939266456 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 172939266456.

It is a congruent number.

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 22406310 + ... + 22414026.

Almost surely, 2172939266456 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 172939266456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237643629930).

172939266456 is an abundant number, since it is smaller than the sum of its proper divisors (302347993404).

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

172939266456 is an frugal number, since it uses more digits than its factorization.

172939266456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15465 (or 7733 counting only the distinct ones).

The product of its digits is 29393280, while the sum is 60.

The spelling of 172939266456 in words is "one hundred seventy-two billion, nine hundred thirty-nine million, two hundred sixty-six thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 121 132 242 264 363 484 726 968 1452 2904 7717 15434 23151 30868 46302 61736 84887 92604 169774 185208 254661 339548 509322 679096 933757 1018644 1867514 2037288 2801271 3735028 5602542 7470056 11205084 22410168 59552089 119104178 178656267 238208356 357312534 476416712 655072979 714625068 1310145958 1429250136 1965218937 2620291916 3930437874 5240583832 7205802769 7860875748 14411605538 15721751496 21617408307 28823211076 43234816614 57646422152 86469633228 172939266456