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44957429664 = 253766900937
BaseRepresentation
bin101001110111101010…
…111110111110100000
311022001011100001112120
4221313222332332200
51214033100222124
632353025424240
73151041563340
oct516752767640
9138034301476
1044957429664
111808032a354
12886819b080
1343161576b4
142266b4ad20
151281d2ed79
hexa77abefa0

44957429664 has 48 divisors (see below), whose sum is σ = 134872291008. Its totient is φ = 12844979712.

The previous prime is 44957429663. The next prime is 44957429687. The reversal of 44957429664 is 46692475944.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 44957429598 and 44957429607.

It is not an unprimeable number, because it can be changed into a prime (44957429663) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33449797 + ... + 33451140.

It is an arithmetic number, because the mean of its divisors is an integer number (2809839396).

Almost surely, 244957429664 is an apocalyptic number.

It is an amenable number.

44957429664 is an abundant number, since it is smaller than the sum of its proper divisors (89914861344).

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

44957429664 is a wasteful number, since it uses less digits than its factorization.

44957429664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66900957 (or 66900949 counting only the distinct ones).

The product of its digits is 52254720, while the sum is 60.

The spelling of 44957429664 in words is "forty-four billion, nine hundred fifty-seven million, four hundred twenty-nine thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 66900937 133801874 200702811 267603748 401405622 468306559 535207496 802811244 936613118 1070414992 1404919677 1605622488 1873226236 2140829984 2809839354 3211244976 3746452472 5619678708 6422489952 7492904944 11239357416 14985809888 22478714832 44957429664