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97139837973204 = 223213308899671947
BaseRepresentation
bin10110000101100100100001…
…100010010011001011010100
3110201221110220022212022121100
4112011210201202103023110
5100213014342010120304
6542333231524150100
726314056512064135
oct2605444142231324
9421843808768540
1097139837973204
1128a518571184a4
12aa8a427238330
13422832a757bb0
1419db843c0bc8c
15b36c6b944439
hex5859218932d4

97139837973204 has 72 divisors (see below), whose sum is σ = 264437475192800. Its totient is φ = 29889039673152.

The previous prime is 97139837973179. The next prime is 97139837973209. The reversal of 97139837973204 is 40237973893179.

97139837973204 is a `hidden beast` number, since 9 + 7 + 139 + 83 + 7 + 97 + 320 + 4 = 666.

It is a super-2 number, since 2×971398379732042 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97139837973209) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 144228759 + ... + 144900705.

Almost surely, 297139837973204 is an apocalyptic number.

It is an amenable number.

97139837973204 is an abundant number, since it is smaller than the sum of its proper divisors (167297637219596).

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

97139837973204 is a wasteful number, since it uses less digits than its factorization.

97139837973204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 980869 (or 980864 counting only the distinct ones).

The product of its (nonzero) digits is 432081216, while the sum is 72.

The spelling of 97139837973204 in words is "ninety-seven trillion, one hundred thirty-nine billion, eight hundred thirty-seven million, nine hundred seventy-three thousand, two hundred four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 308899 617798 671947 926697 1235596 1343894 1853394 2015841 2687788 2780091 3706788 4015687 4031682 5560182 6047523 8031374 8063364 8735311 11120364 12047061 12095046 16062748 17470622 24094122 24190092 26205933 34941244 36141183 48188244 52411866 72282366 78617799 104823732 144564732 157235598 314471196 207563756353 415127512706 622691269059 830255025412 1245382538118 1868073807177 2490765076236 2698328832589 3736147614354 5396657665178 7472295228708 8094986497767 10793315330356 16189972995534 24284959493301 32379945991068 48569918986602 97139837973204