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46341974016 = 211351321929
BaseRepresentation
bin101011001010001100…
…100110100000000000
311102121122121012100000
4223022030212200000
51224402021132031
633142245200000
73230253164652
oct531214464000
9142548535300
1046341974016
1118720921a88
128b93a00000
1344a6c54300
1423589986d2
1513136703e6
hexaca326800

46341974016 has 864 divisors, whose sum is σ = 163665684000. Its totient is φ = 13042778112.

The previous prime is 46341973999. The next prime is 46341974023. The reversal of 46341974016 is 61047914364.

46341974016 is a `hidden beast` number, since 4 + 634 + 1 + 9 + 7 + 4 + 0 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1597999090 + ... + 1597999118.

It is an arithmetic number, because the mean of its divisors is an integer number (189427875).

Almost surely, 246341974016 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 46341974016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81832842000).

46341974016 is an abundant number, since it is smaller than the sum of its proper divisors (117323709984).

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

46341974016 is a wasteful number, since it uses less digits than its factorization.

46341974016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 46341974016 in words is "forty-six billion, three hundred forty-one million, nine hundred seventy-four thousand, sixteen".