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64745606016 = 27337132931229
BaseRepresentation
bin111100010011001000…
…111000101110000000
320012010020021120101000
4330103020320232000
52030044333343031
645424351012000
74451312366520
oct742310705600
9205106246330
1064745606016
1125505230103
121066b20a000
13614a9983a0
1431c2c53680
151a3e1a83e6
hexf13238b80

64745606016 has 1024 divisors, whose sum is σ = 252241920000. Its totient is φ = 15885434880.

The previous prime is 64745606011. The next prime is 64745606017. The reversal of 64745606016 is 61060654746.

64745606016 is a `hidden beast` number, since 6 + 4 + 74 + 560 + 6 + 0 + 16 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64745606011) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 282731790 + ... + 282732018.

It is an arithmetic number, because the mean of its divisors is an integer number (246330000).

Almost surely, 264745606016 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 64745606016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126120960000).

64745606016 is an abundant number, since it is smaller than the sum of its proper divisors (187496313984).

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

64745606016 is a wasteful number, since it uses less digits than its factorization.

64745606016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

It can be divided in two parts, 64745 and 606016, that added together give a square (670761 = 8192).

The spelling of 64745606016 in words is "sixty-four billion, seven hundred forty-five million, six hundred six thousand, sixteen".