Search a number
-
+
125165556601974 = 232721514729198733
BaseRepresentation
bin11100011101011001100000…
…100010100001010001110110
3121102011201011211211221021200
4130131121200202201101312
5112401203024442230344
61122112132441553330
735235625113636300
oct3435314042412166
9542151154757250
10125165556601974
1136977461708169
1212055b0b7a5846
1354ac0a49cb8c5
1422ca08c2b8970
15e70c9b565069
hex71d6608a1476

125165556601974 has 144 divisors (see below), whose sum is σ = 317626233930720. Its totient is φ = 35517065068800.

The previous prime is 125165556601937. The next prime is 125165556601993. The reversal of 125165556601974 is 479106655561521.

125165556601974 is a `hidden beast` number, since 1 + 2 + 5 + 1 + 6 + 5 + 556 + 6 + 0 + 1 + 9 + 74 = 666.

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

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 629718312 + ... + 629917044.

It is an arithmetic number, because the mean of its divisors is an integer number (2205737735630).

Almost surely, 2125165556601974 is an apocalyptic number.

125165556601974 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 125165556601974, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158813116965360).

125165556601974 is an abundant number, since it is smaller than the sum of its proper divisors (192460677328746).

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

125165556601974 is a wasteful number, since it uses less digits than its factorization.

125165556601974 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203635 (or 203625 counting only the distinct ones).

The product of its (nonzero) digits is 68040000, while the sum is 63.

The spelling of 125165556601974 in words is "one hundred twenty-five trillion, one hundred sixty-five billion, five hundred fifty-six million, six hundred one thousand, nine hundred seventy-four".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 126 147 151 294 302 441 453 882 906 1057 1359 2114 2718 3171 4729 6342 7399 9458 9513 14187 14798 19026 22197 28374 33103 42561 44394 66206 66591 85122 99309 133182 198618 198733 231721 297927 397466 463442 595854 596199 695163 714079 1192398 1390326 1391131 1428158 1788597 2085489 2142237 2782262 3577194 4170978 4173393 4284474 4998553 6426711 8346786 9737917 9997106 12520179 12853422 14995659 19475834 25040358 29213751 29991318 30008683 34989871 44986977 58427502 60017366 69979742 87641253 89973954 90026049 104969613 175282506 180052098 209939226 210060781 270078147 314908839 420121562 540156294 629817678 630182343 939808357 1260364686 1470425467 1879616714 1890547029 2819425071 2940850934 3781094058 4411276401 5638850142 6578658499 8458275213 8822552802 13157316998 13233829203 16916550426 19735975497 26467658406 39471950994 46050609493 59207926491 92101218986 118415852982 138151828479 141911061907 276303656958 283822123814 414455485437 425733185721 828910970874 851466371442 993377433349 1277199557163 1986754866698 2554399114326 2980132300047 5960264600094 6953642033443 8940396900141 13907284066886 17880793800282 20860926100329 41721852200658 62582778300987 125165556601974