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49520263680 = 293451311823
BaseRepresentation
bin101110000111101000…
…110100001000000000
311201211011010001010000
4232013220310020000
51302404141414210
634425503040000
73402105203406
oct560750641000
9151734101100
1049520263680
111a001997058
1297202a0000
134892561094
14257ab31476
15144c6d0ac0
hexb87a34200

49520263680 has 400 divisors, whose sum is σ = 178817912064. Its totient is φ = 13097410560.

The previous prime is 49520263651. The next prime is 49520263703. The reversal of 49520263680 is 8636202594.

49520263680 is a `hidden beast` number, since 4 + 9 + 5 + 2 + 0 + 2 + 636 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 27163249 + ... + 27165071.

Almost surely, 249520263680 is an apocalyptic number.

49520263680 is a gapful number since it is divisible by the number (40) 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 49520263680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89408956032).

49520263680 is an abundant number, since it is smaller than the sum of its proper divisors (129297648384).

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

49520263680 is a wasteful number, since it uses less digits than its factorization.

49520263680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1989 (or 1964 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 49520263680 in words is "forty-nine billion, five hundred twenty million, two hundred sixty-three thousand, six hundred eighty".