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93100412152 = 23114340136131
BaseRepresentation
bin101011010110100110…
…1111000110011111000
322220022022211222001001
41112231031320303320
53011132201142102
6110434132534344
76504054306016
oct1265515706370
9286268758031
1093100412152
1136535834690
12160631813b4
138a19262a97
1447129a18b6
15264d657487
hex15ad378cf8

93100412152 has 64 divisors (see below), whose sum is σ = 194941676160. Its totient is φ = 41317180800.

The previous prime is 93100412143. The next prime is 93100412173. The reversal of 93100412152 is 25121400139.

It is a super-2 number, since 2×931004121522 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 93100412152.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15182127 + ... + 15188257.

It is an arithmetic number, because the mean of its divisors is an integer number (3045963690).

Almost surely, 293100412152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 93100412152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97470838080).

93100412152 is an abundant number, since it is smaller than the sum of its proper divisors (101841264008).

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

93100412152 is a wasteful number, since it uses less digits than its factorization.

93100412152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10204 (or 10200 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 28.

The spelling of 93100412152 in words is "ninety-three billion, one hundred million, four hundred twelve thousand, one hundred fifty-two".

Divisors: 1 2 4 8 11 22 43 44 86 88 172 344 473 946 1892 3784 4013 6131 8026 12262 16052 24524 32104 44143 49048 67441 88286 134882 172559 176572 263633 269764 345118 353144 527266 539528 690236 1054532 1380472 1898149 2109064 2899963 3796298 5799926 7592596 11599852 15185192 23199704 24603703 49207406 98414812 196829624 270640733 541281466 1057959229 1082562932 2115918458 2165125864 4231836916 8463673832 11637551519 23275103038 46550206076 93100412152