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49646206368 = 25361131792
BaseRepresentation
bin101110001111001001…
…001111110110100000
311202010221002121000000
4232033021033312200
51303133412100433
634450202300000
73405164535303
oct561711176640
9152127077000
1049646206368
111a066a97720
1297564b7600
1348b2688b95
14258d756b3a
1514587ac113
hexb8f24fda0

49646206368 has 504 divisors, whose sum is σ = 167138971776. Its totient is φ = 14374713600.

The previous prime is 49646206349. The next prime is 49646206381. The reversal of 49646206368 is 86360264694.

49646206368 is a `hidden beast` number, since 4 + 9 + 6 + 4 + 620 + 6 + 3 + 6 + 8 = 666.

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

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 83 ways as a sum of consecutive naturals, for example, 628432953 + ... + 628433031.

It is an arithmetic number, because the mean of its divisors is an integer number (331624944).

Almost surely, 249646206368 is an apocalyptic number.

49646206368 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49646206368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83569485888).

49646206368 is an abundant number, since it is smaller than the sum of its proper divisors (117492765408).

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

49646206368 is an equidigital number, since it uses as much as digits as its factorization.

49646206368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 8957952, while the sum is 54.

The spelling of 49646206368 in words is "forty-nine billion, six hundred forty-six million, two hundred six thousand, three hundred sixty-eight".