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172679978142 = 237721126729
BaseRepresentation
bin1010000011010010000…
…1110101110010011110
3121111201100211210000000
42200310201311302132
510312122033300032
6211154511115130
715322112411340
oct2406441656236
9544640753000
10172679978142
1167262389441
1229572212aa6
131338c250479
148501977290
154759c77e7c
hex2834875c9e

172679978142 has 128 divisors (see below), whose sum is σ = 446087347200. Its totient is φ = 49101474240.

The previous prime is 172679978137. The next prime is 172679978161. The reversal of 172679978142 is 241879976271.

It is a super-2 number, since 2×1726799781422 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 172679978142.

It is a congruent number.

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, 6447034 + ... + 6473762.

It is an arithmetic number, because the mean of its divisors is an integer number (3485057400).

Almost surely, 2172679978142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 172679978142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223043673600).

172679978142 is an abundant number, since it is smaller than the sum of its proper divisors (273407369058).

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

172679978142 is an equidigital number, since it uses as much as digits as its factorization.

172679978142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26970 (or 26952 counting only the distinct ones).

The product of its digits is 21337344, while the sum is 63.

The spelling of 172679978142 in words is "one hundred seventy-two billion, six hundred seventy-nine million, nine hundred seventy-eight thousand, one hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 81 126 162 189 211 243 378 422 486 567 633 729 1134 1266 1458 1477 1701 1899 2187 2954 3402 3798 4374 4431 5103 5697 8862 10206 11394 13293 15309 17091 26586 26729 30618 34182 39879 51273 53458 79758 80187 102546 119637 153819 160374 187103 239274 240561 307638 358911 374206 461457 481122 561309 717822 721683 922914 1076733 1122618 1443366 1683927 2153466 2165049 3230199 3367854 4330098 5051781 5639819 6460398 6495147 10103562 11279638 12990294 15155343 16919457 19485441 30310686 33838914 38970882 39478733 45466029 50758371 58456323 78957466 90932058 101516742 116912646 118436199 136398087 152275113 236872398 272796174 304550226 355308597 409194261 456825339 710617194 818388522 913650678 1065925791 1370476017 2131851582 2740952034 3197777373 4111428051 6395554746 8222856102 9593332119 12334284153 19186664238 24668568306 28779996357 57559992714 86339989071 172679978142