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49261887360 = 27325721710267
BaseRepresentation
bin101101111000001111…
…001011111110000000
311201011010221011102200
4231320033023332000
51301342020343420
634344113113200
73362520063600
oct557017137600
9151133834380
1049261887360
111998a062104
129669858800
134850b77b9a
1425546b4c00
151434b94b90
hexb783cbf80

49261887360 has 576 divisors, whose sum is σ = 209540513520. Its totient is φ = 10596483072.

The previous prime is 49261887299. The next prime is 49261887383. The reversal of 49261887360 is 6378816294.

49261887360 is a `hidden beast` number, since 492 + 6 + 1 + 88 + 73 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a junction number, because it is equal to n+sod(n) for n = 49261887297 and 49261887306.

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 71 ways as a sum of consecutive naturals, for example, 4792947 + ... + 4803213.

Almost surely, 249261887360 is an apocalyptic number.

49261887360 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 49261887360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104770256760).

49261887360 is an abundant number, since it is smaller than the sum of its proper divisors (160278626160).

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

49261887360 is a wasteful number, since it uses less digits than its factorization.

49261887360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10323 (or 10301 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 49261887360 in words is "forty-nine billion, two hundred sixty-one million, eight hundred eighty-seven thousand, three hundred sixty".