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45131000064 = 28358764323
BaseRepresentation
bin101010000010000001…
…000110100100000000
311022111020221100100220
4222002001012210000
51214412014000224
632422145543040
73155250112443
oct520201064400
9138436840326
1045131000064
111815a300367
1288b6344a80
1343430b9b87
142281c0d65a
1512921b8279
hexa82046900

45131000064 has 36 divisors (see below), whose sum is σ = 120114278256. Its totient is φ = 15043666432.

The previous prime is 45130999997. The next prime is 45131000111. The reversal of 45131000064 is 46000013154.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 45130999998 and 45131000043.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 29381394 + ... + 29382929.

Almost surely, 245131000064 is an apocalyptic number.

It is an amenable number.

45131000064 is an abundant number, since it is smaller than the sum of its proper divisors (74983278192).

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

45131000064 is an equidigital number, since it uses as much as digits as its factorization.

45131000064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58764342 (or 58764328 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The spelling of 45131000064 in words is "forty-five billion, one hundred thirty-one million, sixty-four", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 768 58764323 117528646 176292969 235057292 352585938 470114584 705171876 940229168 1410343752 1880458336 2820687504 3760916672 5641375008 7521833344 11282750016 15043666688 22565500032 45131000064