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50345261632 = 267175114753
BaseRepresentation
bin101110111000110011…
…111011101001000000
311210221122111021112201
4232320303323221000
51311101341333012
635043413402544
73431413443301
oct567063735100
9153848437481
1050345261632
111a395651246
129910639454
134994457253
1426185267a8
151499d44857
hexbb8cfba40

50345261632 has 56 divisors (see below), whose sum is σ = 101452753152. Its totient is φ = 24783360000.

The previous prime is 50345261627. The next prime is 50345261671. The reversal of 50345261632 is 23616254305.

It is a junction number, because it is equal to n+sod(n) for n = 50345261591 and 50345261600.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3405168 + ... + 3419920.

Almost surely, 250345261632 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 50345261632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50726376576).

50345261632 is an abundant number, since it is smaller than the sum of its proper divisors (51107491520).

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

50345261632 is a wasteful number, since it uses less digits than its factorization.

50345261632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15587 (or 15577 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 37.

The spelling of 50345261632 in words is "fifty billion, three hundred forty-five million, two hundred sixty-one thousand, six hundred thirty-two".

Divisors: 1 2 4 8 16 32 64 71 142 284 568 751 1136 1502 2272 3004 4544 6008 12016 14753 24032 29506 48064 53321 59012 106642 118024 213284 236048 426568 472096 853136 944192 1047463 1706272 2094926 3412544 4189852 8379704 11079503 16759408 22159006 33518816 44318012 67037632 88636024 177272048 354544096 709088192 786644713 1573289426 3146578852 6293157704 12586315408 25172630816 50345261632