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49956163488 = 253271110321871
BaseRepresentation
bin101110100001100111…
…101000111110100000
311202221112100001020100
4232201213220332200
51304302234212423
634541033542400
73415650245340
oct564147507640
9152845301210
1049956163488
111a205a52030
129822274a00
134931961b6a
1425bc99cd20
151475ad6343
hexba19e8fa0

49956163488 has 288 divisors, whose sum is σ = 178845069312. Its totient is φ = 12849062400.

The previous prime is 49956163487. The next prime is 49956163489. The reversal of 49956163488 is 88436165994.

49956163488 is a `hidden beast` number, since 4 + 9 + 9 + 5 + 616 + 3 + 4 + 8 + 8 = 666.

49956163488 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (49956163487) and next prime (49956163489).

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×499561634882 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (49956163487) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2273193 + ... + 2295063.

It is an arithmetic number, because the mean of its divisors is an integer number (620989824).

Almost surely, 249956163488 is an apocalyptic number.

49956163488 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 49956163488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89422534656).

49956163488 is an abundant number, since it is smaller than the sum of its proper divisors (128888905824).

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

49956163488 is a wasteful number, since it uses less digits than its factorization.

49956163488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22008 (or 21997 counting only the distinct ones).

The product of its digits is 44789760, while the sum is 63.

It can be divided in two parts, 49956 and 163488, that added together give a square (213444 = 4622).

The spelling of 49956163488 in words is "forty-nine billion, nine hundred fifty-six million, one hundred sixty-three thousand, four hundred eighty-eight".