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173930469042 = 231141179419857
BaseRepresentation
bin1010000111111100010…
…0000101011010110010
3121121221111212022000210
42201333010011122302
510322202200002132
6211522541324550
715365105410401
oct2417704053262
9547844768023
10173930469042
11678442407a0
1229860b66756
131352b342605
1485bda8b638
1547ce938bcc
hex287f1056b2

173930469042 has 128 divisors (see below), whose sum is σ = 392302310400. Its totient is φ = 50951859200.

The previous prime is 173930469023. The next prime is 173930469091. The reversal of 173930469042 is 240964039371.

It is a happy number.

It is a super-2 number, since 2×1739304690422 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 173930468982 and 173930469000.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 202952278 + ... + 202953134.

It is an arithmetic number, because the mean of its divisors is an integer number (3064861800).

Almost surely, 2173930469042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 173930469042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196151155200).

173930469042 is an abundant number, since it is smaller than the sum of its proper divisors (218371841358).

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

173930469042 is a wasteful number, since it uses less digits than its factorization.

173930469042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1512.

The product of its (nonzero) digits is 979776, while the sum is 48.

The spelling of 173930469042 in words is "one hundred seventy-three billion, nine hundred thirty million, four hundred sixty-nine thousand, forty-two".

Divisors: 1 2 3 6 11 22 33 41 66 82 123 179 246 358 419 451 537 838 857 902 1074 1257 1353 1714 1969 2514 2571 2706 3938 4609 5142 5907 7339 9218 9427 11814 13827 14678 17179 18854 22017 27654 28281 34358 35137 44034 51537 56562 70274 75001 80729 103074 105411 150002 153403 161458 188969 210822 225003 242187 306806 359083 377938 386507 450006 460209 484374 566907 718166 773014 825011 920418 1077249 1133814 1159521 1650022 1687433 2154498 2319042 2475033 3075041 3374866 3949913 4950066 5062299 6150082 6289523 7899826 9225123 10124598 11849739 12579046 14722403 18450246 18868569 23699478 29444806 33825451 37737138 44167209 64275857 67650902 69184753 88334418 101476353 128551714 138369506 161946433 192827571 202952706 207554259 323892866 385655142 415108518 485839299 707034427 971678598 1414068854 2121103281 2635310137 4242206562 5270620274 7905930411 15811860822 28988411507 57976823014 86965234521 173930469042