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93414022962 = 23132829111127
BaseRepresentation
bin101011011111111101…
…0001101111100110010
322221010011222001012020
41112333322031330302
53012302442213322
6110525214412310
76514613044161
oct1267772157462
9287104861166
1093414022962
1136686865077
1216130201096
138a69217b00
1447424b93d8
15266ae5405c
hex15bfe8df32

93414022962 has 48 divisors (see below), whose sum is σ = 202550783040. Its totient is φ = 28707846336.

The previous prime is 93414022943. The next prime is 93414022991. The reversal of 93414022962 is 26922041439.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 785043 + ... + 896169.

It is an arithmetic number, because the mean of its divisors is an integer number (4219807980).

Almost surely, 293414022962 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 93414022962, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101275391520).

93414022962 is an abundant number, since it is smaller than the sum of its proper divisors (109136760078).

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

93414022962 is a wasteful number, since it uses less digits than its factorization.

93414022962 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111987 (or 111974 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 42.

The spelling of 93414022962 in words is "ninety-three billion, four hundred fourteen million, twenty-two thousand, nine hundred sixty-two".

Divisors: 1 2 3 6 13 26 39 78 169 338 507 829 1014 1658 2487 4974 10777 21554 32331 64662 111127 140101 222254 280202 333381 420303 666762 840606 1444651 2889302 4333953 8667906 18780463 37560926 56341389 92124283 112682778 184248566 276372849 552745698 1197615679 2395231358 3592847037 7185694074 15569003827 31138007654 46707011481 93414022962