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49621917312 = 273211101137283
BaseRepresentation
bin101110001101101100…
…100101111010000000
311202002020101120200100
4232031230211322000
51303111202323222
634443533522400
73404451223602
oct561554457200
9152066346610
1049621917312
111a054307a20
12974a343400
1348aa633466
14258a433172
1514565b04ac
hexb8db25e80

49621917312 has 384 divisors, whose sum is σ = 159023891520. Its totient is φ = 14727168000.

The previous prime is 49621917281. The next prime is 49621917353. The reversal of 49621917312 is 21371912694.

49621917312 is a `hidden beast` number, since 4 + 9 + 621 + 9 + 1 + 7 + 3 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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 47 ways as a sum of consecutive naturals, for example, 175342323 + ... + 175342605.

Almost surely, 249621917312 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 49621917312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79511945760).

49621917312 is an abundant number, since it is smaller than the sum of its proper divisors (109401974208).

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

49621917312 is a wasteful number, since it uses less digits than its factorization.

49621917312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 552 (or 537 counting only the distinct ones).

The product of its digits is 163296, while the sum is 45.

The spelling of 49621917312 in words is "forty-nine billion, six hundred twenty-one million, nine hundred seventeen thousand, three hundred twelve".