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1004115313544 = 23722561518657
BaseRepresentation
bin11101001110010011110…
…11111100001110001000
310112222210112010000101012
432213021323330032020
5112422412010013134
62045141215543052
7132354625224500
oct16471173741610
93488715100335
101004115313544
1135792aa0a972
1214273022aa88
13738c2a63005
1436856c16a00
151b1bcbb86ce
hexe9c9efc388

1004115313544 has 24 divisors (see below), whose sum is σ = 2190098452590. Its totient is φ = 430335134208.

The previous prime is 1004115313541. The next prime is 1004115313549. The reversal of 1004115313544 is 4453135114001.

It can be written as a sum of positive squares in only one way, i.e., 728240356900 + 275874956644 = 853370^2 + 525238^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1004115313544.

It is not an unprimeable number, because it can be changed into a prime (1004115313541) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1280758937 + ... + 1280759720.

Almost surely, 21004115313544 is an apocalyptic number.

1004115313544 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1004115313544 is an abundant number, since it is smaller than the sum of its proper divisors (1185983139046).

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

1004115313544 is a wasteful number, since it uses less digits than its factorization.

1004115313544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2561518677 (or 2561518666 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 32.

The spelling of 1004115313544 in words is "one trillion, four billion, one hundred fifteen million, three hundred thirteen thousand, five hundred forty-four".

Divisors: 1 2 4 7 8 14 28 49 56 98 196 392 2561518657 5123037314 10246074628 17930630599 20492149256 35861261198 71722522396 125514414193 143445044792 251028828386 502057656772 1004115313544