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10612852740 = 22335723592069
BaseRepresentation
bin10011110001001001…
…10100100000000100
31000101121221210001000
421320210310200010
5133213342241430
64513034133300
7523665521430
oct117044644004
930347853030
1010612852740
114556751386
122082281230
131001966229
147296d39c0
15421ab8e60
hex278934804

10612852740 has 384 divisors, whose sum is σ = 40061952000. Its totient is φ = 2279895552.

The previous prime is 10612852727. The next prime is 10612852777. The reversal of 10612852740 is 4725821601.

10612852740 is a `hidden beast` number, since 1 + 0 + 6 + 128 + 527 + 4 + 0 = 666.

It is a super-4 number, since 4×106128527404 (a number of 41 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 10612852695 and 10612852704.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5128426 + ... + 5130494.

It is an arithmetic number, because the mean of its divisors is an integer number (104328000).

Almost surely, 210612852740 is an apocalyptic number.

10612852740 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10612852740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20030976000).

10612852740 is an abundant number, since it is smaller than the sum of its proper divisors (29449099260).

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

10612852740 is a wasteful number, since it uses less digits than its factorization.

10612852740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2176 (or 2168 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 10612852740 in words is "ten billion, six hundred twelve million, eight hundred fifty-two thousand, seven hundred forty".