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103717560730640 = 2451648178664493
BaseRepresentation
bin10111100101010010100000…
…010111010100010000010000
3111121020022011010200202012212
4113211102200113110100100
5102043302031021340030
61004331104543011252
730563226562030313
oct2745224027242020
9447208133622185
10103717560730640
113005840913737a
12b7711a9299b28
1345b46a733294c
141b87d5737297a
15becde9b05595
hex5e54a05d4410

103717560730640 has 40 divisors (see below), whose sum is σ = 241157963360088. Its totient is φ = 41484506501120.

The previous prime is 103717560730633. The next prime is 103717560730759. The reversal of 103717560730640 is 46037065717301.

It is a happy number.

103717560730640 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 37151804371984 + 66565756358656 = 6095228^2 + 8158784^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×1037175607306402 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38013767 + ... + 40650726.

Almost surely, 2103717560730640 is an apocalyptic number.

103717560730640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103717560730640 is an abundant number, since it is smaller than the sum of its proper divisors (137440402629448).

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

103717560730640 is a wasteful number, since it uses less digits than its factorization.

103717560730640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78680987 (or 78680981 counting only the distinct ones).

The product of its (nonzero) digits is 2222640, while the sum is 50.

The spelling of 103717560730640 in words is "one hundred three trillion, seven hundred seventeen billion, five hundred sixty million, seven hundred thirty thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 16481 32962 65924 82405 131848 164810 263696 329620 659240 1318480 78664493 157328986 314657972 393322465 629315944 786644930 1258631888 1573289860 3146579720 6293159440 1296469509133 2592939018266 5185878036532 6482347545665 10371756073064 12964695091330 20743512146128 25929390182660 51858780365320 103717560730640