Search a number
-
+
172046523402 = 232132926339629
BaseRepresentation
bin1010000000111011000…
…1011001110000001010
3121110002012212221110100
42200032301121300022
510304322402222102
6211012002030230
715300321214455
oct2401661316012
9543065787410
10172046523402
1166a67860526
1229416048376
13132bac40290
1484817a249c
15471e34ca1c
hex280ec59c0a

172046523402 has 96 divisors (see below), whose sum is σ = 415485579600. Its totient is φ = 51087246336.

The previous prime is 172046523353. The next prime is 172046523413. The reversal of 172046523402 is 204325640271.

172046523402 is a `hidden beast` number, since 172 + 0 + 4 + 65 + 23 + 402 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 81572500881 + 90474022521 = 285609^2 + 300789^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17862724 + ... + 17872352.

Almost surely, 2172046523402 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 172046523402, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207742789800).

172046523402 is an abundant number, since it is smaller than the sum of its proper divisors (243439056198).

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

172046523402 is a wasteful number, since it uses less digits than its factorization.

172046523402 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12312 (or 12309 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 172046523402 in words is "one hundred seventy-two billion, forty-six million, five hundred twenty-three thousand, four hundred two".

Divisors: 1 2 3 6 9 13 18 26 29 39 58 78 87 117 174 234 261 377 522 754 1131 2262 2633 3393 5266 6786 7899 9629 15798 19258 23697 28887 34229 47394 57774 68458 76357 86661 102687 125177 152714 173322 205374 229071 250354 279241 308061 375531 458142 558482 616122 687213 751062 837723 992641 1126593 1374426 1675446 1985282 2253186 2513169 2977923 3630133 5026338 5955846 7260266 8933769 10890399 17867538 21780798 25353157 32671197 50706314 65342394 76059471 152118942 228178413 329591041 456356826 659182082 735241553 988773123 1470483106 1977546246 2205724659 2966319369 4411449318 5932638738 6617173977 9558140189 13234347954 19116280378 28674420567 57348841134 86023261701 172046523402