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93121404964 = 22727123072
BaseRepresentation
bin101011010111001110…
…1111110000000100100
322220100210100111202121
41112232131332000210
53011203034424324
6110440202515324
76504430611400
oct1265635760044
9286323314677
1093121404964
1136546672915
121606a205b44
138a20703073
1447156a8100
1526504025e4
hex15ae77e024

93121404964 has 81 divisors (see below), whose sum is σ = 192904506459. Its totient is φ = 39218906160.

The previous prime is 93121404953. The next prime is 93121404989. The reversal of 93121404964 is 46940412139.

The square root of 93121404964 is 305158.

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

It is a self number, because there is not a number n which added to its sum of digits gives 93121404964.

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 303326899 + ... + 303327205.

Almost surely, 293121404964 is an apocalyptic number.

93121404964 is the 305158-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 93121404964

93121404964 is an abundant number, since it is smaller than the sum of its proper divisors (99783101495).

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

93121404964 is an equidigital number, since it uses as much as digits as its factorization.

93121404964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 774 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 43.

The spelling of 93121404964 in words is "ninety-three billion, one hundred twenty-one million, four hundred four thousand, nine hundred sixty-four".

Divisors: 1 2 4 7 14 28 49 71 98 142 196 284 307 497 614 994 1228 1988 2149 3479 4298 5041 6958 8596 10082 13916 15043 20164 21797 30086 35287 43594 60172 70574 87188 94249 141148 152579 188498 247009 305158 376996 494018 610316 659743 988036 1068053 1319486 1547587 2136106 2638972 3095174 4272212 4618201 6190348 6691679 9236402 10833109 13383358 18472804 21666218 26766716 43332436 46841753 75831763 93683506 151663526 187367012 303327052 327892271 475109209 655784542 950218418 1311569084 1900436836 3325764463 6651528926 13303057852 23280351241 46560702482 93121404964