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49922137440 = 25325717217137
BaseRepresentation
bin101110011111100101…
…110101110101100000
311202212011022100021100
4232133211311311200
51304220031344230
634533420354400
73415055111130
oct563745656540
9152764270240
1049922137440
111a19882182a
1298129a5a00
1349278aa4c6
1425b8262ac0
151472b14660
hexb9f975d60

49922137440 has 432 divisors, whose sum is σ = 206834820192. Its totient is φ = 10738925568.

The previous prime is 49922137417. The next prime is 49922137453. The reversal of 49922137440 is 4473122994.

49922137440 is a `hidden beast` number, since 499 + 22 + 137 + 4 + 4 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2904552 + ... + 2921688.

It is an arithmetic number, because the mean of its divisors is an integer number (478784306).

Almost surely, 249922137440 is an apocalyptic number.

49922137440 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 49922137440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103417410096).

49922137440 is an abundant number, since it is smaller than the sum of its proper divisors (156912682752).

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

49922137440 is a wasteful number, since it uses less digits than its factorization.

49922137440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17199 (or 17171 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 49922137440 in words is "forty-nine billion, nine hundred twenty-two million, one hundred thirty-seven thousand, four hundred forty".