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13661731297920 = 27357115485051
BaseRepresentation
bin1100011011001101111010…
…1001000001101010000000
31210101001022112200102210010
43012303132221001222000
53242313211203013140
645020040202504520
72610012303002046
oct306633651015200
953331275612703
1013661731297920
1143979a9180082
12164789a205140
137813ac95a034
14353334a70396
1518a58dc3e880
hexc6cdea41a80

13661731297920 has 64 divisors (see below), whose sum is σ = 43546768518240. Its totient is φ = 3643128345600.

The previous prime is 13661731297909. The next prime is 13661731297931. The reversal of 13661731297920 is 2979213716631.

It is an interprime number because it is at equal distance from previous prime (13661731297909) and next prime (13661731297931).

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3557740606 + ... + 3557744445.

Almost surely, 213661731297920 is an apocalyptic number.

13661731297920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13661731297920 is an abundant number, since it is smaller than the sum of its proper divisors (29885037220320).

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

13661731297920 is an equidigital number, since it uses as much as digits as its factorization.

13661731297920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7115485073 (or 7115485061 counting only the distinct ones).

The product of its (nonzero) digits is 5143824, while the sum is 57.

The spelling of 13661731297920 in words is "thirteen trillion, six hundred sixty-one billion, seven hundred thirty-one million, two hundred ninety-seven thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 960 1920 7115485051 14230970102 21346455153 28461940204 35577425255 42692910306 56923880408 71154850510 85385820612 106732275765 113847760816 142309701020 170771641224 213464551530 227695521632 284619402040 341543282448 426929103060 455391043264 569238804080 683086564896 853858206120 910782086528 1138477608160 1366173129792 1707716412240 2276955216320 2732346259584 3415432824480 4553910432640 6830865648960 13661731297920