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46204452864 = 2253417
BaseRepresentation
bin101011000010000000…
…000000000000000000
311102021001211101210000
4223002000000000000
51224111314442424
633120453440000
73223663240443
oct530200000000
9142231741700
1046204452864
1118660233339
128b55940000
13448460434b
1423445db65a
1513065583c9
hexac2000000

46204452864 has 260 divisors, whose sum is σ = 146163103614. Its totient is φ = 14495514624.

The previous prime is 46204452859. The next prime is 46204452937. The reversal of 46204452864 is 46825440264.

46204452864 is a `hidden beast` number, since 4 + 6 + 20 + 44 + 528 + 64 = 666.

It can be written as a sum of positive squares in only one way, i.e., 33973862400 + 12230590464 = 184320^2 + 110592^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 2717908984 + ... + 2717909000.

Almost surely, 246204452864 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 46204452864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73081551807).

46204452864 is an abundant number, since it is smaller than the sum of its proper divisors (99958650750).

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

46204452864 is an frugal number, since it uses more digits than its factorization.

46204452864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 22 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 45.

The spelling of 46204452864 in words is "forty-six billion, two hundred four million, four hundred fifty-two thousand, eight hundred sixty-four".