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49950293166 = 235307334783
BaseRepresentation
bin101110100001010001…
…001111110010101110
311202221010021210200000
4232201101033302232
51304244233340131
634540304045130
73415546325604
oct564121176256
9152833253600
1049950293166
111a202702624
1298203037a6
134930687bb7
1425bbcb1874
151475326ce6
hexba144fcae

49950293166 has 48 divisors (see below), whose sum is σ = 112599911424. Its totient is φ = 16595813304.

The previous prime is 49950293123. The next prime is 49950293177. The reversal of 49950293166 is 66139205994.

49950293166 is a `hidden beast` number, since 49 + 9 + 502 + 9 + 31 + 66 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 18190 + ... + 316593.

It is an arithmetic number, because the mean of its divisors is an integer number (2345831488).

Almost surely, 249950293166 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49950293166, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56299955712).

49950293166 is an abundant number, since it is smaller than the sum of its proper divisors (62649618258).

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

49950293166 is a wasteful number, since it uses less digits than its factorization.

49950293166 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335107 (or 335095 counting only the distinct ones).

The product of its (nonzero) digits is 3149280, while the sum is 54.

The spelling of 49950293166 in words is "forty-nine billion, nine hundred fifty million, two hundred ninety-three thousand, one hundred sixty-six".

Divisors: 1 2 3 6 9 18 27 54 81 162 243 307 486 614 921 1842 2763 5526 8289 16578 24867 49734 74601 149202 334783 669566 1004349 2008698 3013047 6026094 9039141 18078282 27117423 54234846 81352269 102778381 162704538 205556762 308335143 616670286 925005429 1850010858 2775016287 5550032574 8325048861 16650097722 24975146583 49950293166