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49458140160 = 21035112132389
BaseRepresentation
bin101110000011111011…
…110101010000000000
311201122211012211122220
4232003323311100000
51302242240441120
634415403331040
73400422153312
oct560373652000
9151584184586
1049458140160
1119a7a915800
129703520a80
13488271c6c0
14257279d7b2
15144700db40
hexb83ef5400

49458140160 has 1056 divisors, whose sum is σ = 197588885760. Its totient is φ = 10467409920.

The previous prime is 49458140159. The next prime is 49458140177. The reversal of 49458140160 is 6104185494.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a super-2 number, since 2×494581401602 (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, 555709396 + ... + 555709484.

Almost surely, 249458140160 is an apocalyptic number.

49458140160 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 49458140160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98794442880).

49458140160 is an abundant number, since it is smaller than the sum of its proper divisors (148130745600).

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

49458140160 is a wasteful number, since it uses less digits than its factorization.

49458140160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The spelling of 49458140160 in words is "forty-nine billion, four hundred fifty-eight million, one hundred forty thousand, one hundred sixty".