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13916381553360 = 243251113135162991
BaseRepresentation
bin1100101010000010100011…
…1110101010001011010000
31211021101121120001202010100
43022200220332222023100
53311001222134201420
645333033013332400
72634265623314616
oct312405076521320
954241546052110
1013916381553360
1144859a4651040
121689108037100
1379c403280960
143617b0d016b6
15191ee4e27190
hexca828faa2d0

13916381553360 has 240 divisors, whose sum is σ = 54906451262208. Its totient is φ = 3114155289600.

The previous prime is 13916381553359. The next prime is 13916381553401. The reversal of 13916381553360 is 6335518361931.

13916381553360 is a `hidden beast` number, since 1 + 3 + 9 + 1 + 6 + 3 + 81 + 553 + 3 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a junction number, because it is equal to n+sod(n) for n = 13916381553297 and 13916381553306.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 67478536 + ... + 67684455.

Almost surely, 213916381553360 is an apocalyptic number.

13916381553360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13916381553360 is an abundant number, since it is smaller than the sum of its proper divisors (40990069708848).

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

13916381553360 is a wasteful number, since it uses less digits than its factorization.

13916381553360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135163034 (or 135163025 counting only the distinct ones).

The product of its (nonzero) digits is 5248800, while the sum is 54.

The spelling of 13916381553360 in words is "thirteen trillion, nine hundred sixteen billion, three hundred eighty-one million, five hundred fifty-three thousand, three hundred sixty".