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10080741456 = 243270005149
BaseRepresentation
bin10010110001101101…
…11110100001010000
3222000112200201120200
421120312332201100
5131121132211311
64344145135200
7504544613532
oct113066764120
928015621520
1010080741456
114303352295
121b5402a500
13c4864a196
146b8b7d852
153e000b556
hex258dbe850

10080741456 has 30 divisors (see below), whose sum is σ = 28212075450. Its totient is φ = 3360247104.

The previous prime is 10080741431. The next prime is 10080741469. The reversal of 10080741456 is 65414708001.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 7981635600 + 2099105856 = 89340^2 + 45816^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 10080741456.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 35002431 + ... + 35002718.

It is an arithmetic number, because the mean of its divisors is an integer number (940402515).

Almost surely, 210080741456 is an apocalyptic number.

10080741456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10080741456 is an abundant number, since it is smaller than the sum of its proper divisors (18131333994).

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

10080741456 is a wasteful number, since it uses less digits than its factorization.

10080741456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70005163 (or 70005154 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 10080741456 in words is "ten billion, eighty million, seven hundred forty-one thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 70005149 140010298 210015447 280020596 420030894 560041192 630046341 840061788 1120082384 1260092682 1680123576 2520185364 3360247152 5040370728 10080741456