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10473878880 = 253355694261
BaseRepresentation
bin10011100000100101…
…01011010101100000
31000000221110011202000
421300102223111200
5132422303111010
64451151324000
7520360334013
oct116022532540
930027404660
1010473878880
114495260253
122043820600
13cabc27c8a
1471507937a
154147b67c0
hex2704ab560

10473878880 has 192 divisors, whose sum is σ = 36731620800. Its totient is φ = 2787471360.

The previous prime is 10473878869. The next prime is 10473878881. The reversal of 10473878880 is 8887837401.

10473878880 is a `hidden beast` number, since 10 + 473 + 8 + 7 + 88 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10473878881) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2455950 + ... + 2460210.

It is an arithmetic number, because the mean of its divisors is an integer number (191310525).

Almost surely, 210473878880 is an apocalyptic number.

10473878880 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 10473878880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18365810400).

10473878880 is an abundant number, since it is smaller than the sum of its proper divisors (26257741920).

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

10473878880 is a wasteful number, since it uses less digits than its factorization.

10473878880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4854 (or 4840 counting only the distinct ones).

The product of its (nonzero) digits is 2408448, while the sum is 54.

The spelling of 10473878880 in words is "ten billion, four hundred seventy-three million, eight hundred seventy-eight thousand, eight hundred eighty".