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13752620017920 = 28345729738951
BaseRepresentation
bin1100100000100000100000…
…0001111110100100000000
31210200201220201211210120000
43020020020001332210000
53300310331211033140
645125511051320000
72616410513244030
oct310101001764400
953621821753500
1013752620017920
1144224a9519703
121661424750000
13789b35926624
143578b79cd8c0
1518cb0d11aa30
hexc820807e900

13752620017920 has 1440 divisors, whose sum is σ = 58982144094720. Its totient is φ = 2993150361600.

The previous prime is 13752620017859. The next prime is 13752620017937. The reversal of 13752620017920 is 2971002625731.

It is a happy number.

13752620017920 is a `hidden beast` number, since 1 + 3 + 7 + 5 + 2 + 620 + 0 + 17 + 9 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×137526200179202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1536429445 + ... + 1536438395.

It is an arithmetic number, because the mean of its divisors is an integer number (40959822288).

Almost surely, 213752620017920 is an apocalyptic number.

13752620017920 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 13752620017920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29491072047360).

13752620017920 is an abundant number, since it is smaller than the sum of its proper divisors (45229524076800).

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

13752620017920 is an equidigital number, since it uses as much as digits as its factorization.

13752620017920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9093 (or 9070 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The spelling of 13752620017920 in words is "thirteen trillion, seven hundred fifty-two billion, six hundred twenty million, seventeen thousand, nine hundred twenty".