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10584252912 = 243220505269
BaseRepresentation
bin10011101101101111…
…01110000111110000
31000022122010202110010
421312313232013300
5133134032043122
64510133134520
7523200444132
oct116667560760
930278122403
1010584252912
114541597962
12207478a440
13cc8a6165c
147259ab052
1541e319e0c
hex276dee1f0

10584252912 has 20 divisors (see below), whose sum is σ = 27342653480. Its totient is φ = 3528084288.

The previous prime is 10584252901. The next prime is 10584252919. The reversal of 10584252912 is 21925248501.

It is a super-2 number, since 2×105842529122 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10584252919) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 110252587 + ... + 110252682.

It is an arithmetic number, because the mean of its divisors is an integer number (1367132674).

Almost surely, 210584252912 is an apocalyptic number.

10584252912 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10584252912 is an abundant number, since it is smaller than the sum of its proper divisors (16758400568).

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

10584252912 is a wasteful number, since it uses less digits than its factorization.

10584252912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220505280 (or 220505274 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 39.

The spelling of 10584252912 in words is "ten billion, five hundred eighty-four million, two hundred fifty-two thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 48 220505269 441010538 661515807 882021076 1323031614 1764042152 2646063228 3528084304 5292126456 10584252912