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50270782464 = 21035731931
BaseRepresentation
bin101110110100010111…
…110100010000000000
311210202110100100100000
4232310113310100000
51310423310014324
635032153200000
73426520413000
oct566427642000
9153673310300
1050270782464
111a357600a11
1298ab700000
134981baaa36
14260c69a000
1514935319c9
hexbb45f4400

50270782464 has 1056 divisors, whose sum is σ = 190747648000. Its totient is φ = 13168189440.

The previous prime is 50270782459. The next prime is 50270782477. The reversal of 50270782464 is 46428707205.

It is a happy number.

50270782464 is a `hidden beast` number, since 50 + 2 + 70 + 78 + 2 + 464 = 666.

It is a super-2 number, since 2×502707824642 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1621638129 + ... + 1621638159.

Almost surely, 250270782464 is an apocalyptic number.

50270782464 is a gapful number since it is divisible by the number (54) 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 50270782464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95373824000).

50270782464 is an abundant number, since it is smaller than the sum of its proper divisors (140476865536).

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

50270782464 is an equidigital number, since it uses as much as digits as its factorization.

50270782464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The spelling of 50270782464 in words is "fifty billion, two hundred seventy million, seven hundred eighty-two thousand, four hundred sixty-four".