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10466561632 = 2517191100733
BaseRepresentation
bin10011011111101101…
…10000111001100000
31000000102200102100211
421233312300321200
5132413414433012
64450330423504
7520241206642
oct115766607140
930012612324
1010466561632
11449111273a
122041291b94
13caa565547
147140d2892
15413d1d6a7
hex26fdb0e60

10466561632 has 48 divisors (see below), whose sum is σ = 21932612352. Its totient is φ = 4899604480.

The previous prime is 10466561621. The next prime is 10466561657. The reversal of 10466561632 is 23616566401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 53538 + ... + 154270.

It is an arithmetic number, because the mean of its divisors is an integer number (456929424).

Almost surely, 210466561632 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 10466561632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10966306176).

10466561632 is an abundant number, since it is smaller than the sum of its proper divisors (11466050720).

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

10466561632 is a wasteful number, since it uses less digits than its factorization.

10466561632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100951 (or 100943 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 40.

The spelling of 10466561632 in words is "ten billion, four hundred sixty-six million, five hundred sixty-one thousand, six hundred thirty-two".

Divisors: 1 2 4 8 16 17 32 34 68 136 191 272 382 544 764 1528 3056 3247 6112 6494 12988 25976 51952 100733 103904 201466 402932 805864 1611728 1712461 3223456 3424922 6849844 13699688 19240003 27399376 38480006 54798752 76960012 153920024 307840048 327080051 615680096 654160102 1308320204 2616640408 5233280816 10466561632