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93070145476 = 22741122832
BaseRepresentation
bin101011010101101101…
…0011011011111000100
322220020012220020222001
41112223122123133010
53011101424123401
6110431132115044
76503236120000
oct1265332333704
9286205806861
1093070145476
113651a741900
1216055005a84
138a12bc65c9
14470c963700
15264ab79601
hex15ab69b7c4

93070145476 has 135 divisors (see below), whose sum is σ = 209591163663. Its totient is φ = 36132964560.

The previous prime is 93070145461. The next prime is 93070145491. The reversal of 93070145476 is 67454107039.

The square root of 93070145476 is 305074.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (93070145461) and next prime (93070145491).

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 328869631 + ... + 328869913.

Almost surely, 293070145476 is an apocalyptic number.

93070145476 is the 305074-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 93070145476

93070145476 is an abundant number, since it is smaller than the sum of its proper divisors (116521018187).

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

93070145476 is an equidigital number, since it uses as much as digits as its factorization.

93070145476 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 620 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 46.

The spelling of 93070145476 in words is "ninety-three billion, seventy million, one hundred forty-five thousand, four hundred seventy-six".

Divisors: 1 2 4 7 11 14 22 28 44 49 77 98 121 154 196 242 283 308 343 484 539 566 686 847 1078 1132 1372 1694 1981 2156 2401 3113 3388 3773 3962 4802 5929 6226 7546 7924 9604 11858 12452 13867 15092 21791 23716 26411 27734 34243 41503 43582 52822 55468 68486 80089 83006 87164 97069 105644 136972 152537 160178 166012 194138 239701 290521 305074 320356 388276 479402 560623 581042 610148 679483 880979 958804 1067759 1121246 1162084 1358966 1677907 1761958 2135518 2242492 2717932 3355814 3523916 3924361 4271036 6166853 6711628 7474313 7848722 9690769 11745349 12333706 14948626 15697444 19381538 23490698 24667412 27470527 29897252 38763076 43167971 46981396 54941054 67835383 82217443 86335942 109882108 135670766 164434886 172671884 192293689 271341532 302175797 328869772 384587378 474847681 604351594 769174756 949695362 1208703188 1899390724 2115230579 3323933767 4230461158 6647867534 8460922316 13295735068 23267536369 46535072738 93070145476