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106432367375144 = 2313304045921893
BaseRepresentation
bin11000001100110010110111…
…011100110011001100101000
3111221211211112200100110201202
4120030302313130303030220
5102422241442022001034
61014210204331103332
731263325165536566
oct3014626734631450
9457754480313652
10106432367375144
1130a04793773a38
12bb2b3805a1b48
1347506b57b1155
141c3d4d57b8a36
15c4883ba0947e
hex60ccb7733328

106432367375144 has 8 divisors (see below), whose sum is σ = 199560688828410. Its totient is φ = 53216183687568.

The previous prime is 106432367375137. The next prime is 106432367375153. The reversal of 106432367375144 is 441573763234601.

It can be written as a sum of positive squares in only one way, i.e., 86095424252644 + 20336943122500 = 9278762^2 + 4509650^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is a super-2 number, since 2×1064323673751442 (a number of 29 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 106432367375144.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6652022960939 + ... + 6652022960954.

Almost surely, 2106432367375144 is an apocalyptic number.

It is an amenable number.

106432367375144 is a deficient number, since it is larger than the sum of its proper divisors (93128321453266).

106432367375144 is a wasteful number, since it uses less digits than its factorization.

106432367375144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13304045921899 (or 13304045921895 counting only the distinct ones).

The product of its (nonzero) digits is 30481920, while the sum is 56.

The spelling of 106432367375144 in words is "one hundred six trillion, four hundred thirty-two billion, three hundred sixty-seven million, three hundred seventy-five thousand, one hundred forty-four".

Divisors: 1 2 4 8 13304045921893 26608091843786 53216183687572 106432367375144