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50405461632 = 273243754741
BaseRepresentation
bin101110111100011001…
…100100111010000000
311211002211202202102100
4232330121210322000
51311212244233012
635053403550400
73433044232431
oct567431447200
9154084682370
1050405461632
111a416629409
12992882b400
1349a3a74256
142622517488
1514a02868dc
hexbbc664e80

50405461632 has 48 divisors (see below), whose sum is σ = 145046969730. Its totient is φ = 16801820160.

The previous prime is 50405461583. The next prime is 50405461651. The reversal of 50405461632 is 23616450405.

50405461632 is a `hidden beast` number, since 5 + 0 + 4 + 0 + 5 + 4 + 616 + 32 = 666.

It can be written as a sum of positive squares in only one way, i.e., 46046293056 + 4359168576 = 214584^2 + 66024^2 .

It is a tau number, because it is divible by the number of its divisors (48).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 21876219 + ... + 21878522.

Almost surely, 250405461632 is an apocalyptic number.

It is an amenable number.

50405461632 is an abundant number, since it is smaller than the sum of its proper divisors (94641508098).

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

50405461632 is a wasteful number, since it uses less digits than its factorization.

50405461632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43754761 (or 43754746 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 50405461632 in words is "fifty billion, four hundred five million, four hundred sixty-one thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 43754741 87509482 131264223 175018964 262528446 350037928 393792669 525056892 700075856 787585338 1050113784 1400151712 1575170676 2100227568 2800303424 3150341352 4200455136 5600606848 6300682704 8400910272 12601365408 16801820544 25202730816 50405461632