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10375447680 = 273351346187
BaseRepresentation
bin10011010100110110…
…01100010010000000
3222210002020100112000
421222123030102000
5132222103311210
64433313504000
7515053564413
oct115233142200
928702210460
1010375447680
114444740454
122016872000
13c94713570
14705d75b7a
1540ad21ac0
hex26a6cc480

10375447680 has 256 divisors, whose sum is σ = 39573878400. Its totient is φ = 2553901056.

The previous prime is 10375447669. The next prime is 10375447697. The reversal of 10375447680 is 8674457301.

10375447680 is a `hidden beast` number, since 1 + 0 + 37 + 544 + 76 + 8 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 201547 + ... + 247733.

Almost surely, 210375447680 is an apocalyptic number.

10375447680 is a gapful number since it is divisible by the number (10) 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 10375447680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19786939200).

10375447680 is an abundant number, since it is smaller than the sum of its proper divisors (29198430720).

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

10375447680 is a wasteful number, since it uses less digits than its factorization.

10375447680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46228 (or 46210 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 10375447680 in words is "ten billion, three hundred seventy-five million, four hundred forty-seven thousand, six hundred eighty".