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20116713526337 = 192734997332087
BaseRepresentation
bin1001001001011110010011…
…00100000101010001000001
32122020010202100112221211102
410210233021210011101001
510114043012130320322
6110441253550024145
74144245625436261
oct444571144052101
978203670487742
1020116713526337
1164564a538691a
12230a9067a8055
13b2bcc864371c
144d7922d097a1
1524d43655b792
hex124bc9905441

20116713526337 has 48 divisors (see below), whose sum is σ = 21604949424000. Its totient is φ = 18724633691904.

The previous prime is 20116713526319. The next prime is 20116713526363. The reversal of 20116713526337 is 73362531761102.

It is not a de Polignac number, because 20116713526337 - 232 = 20112418559041 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 20116713526291 and 20116713526300.

It is not an unprimeable number, because it can be changed into a prime (20116713526237) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9639056708 + ... + 9639058794.

It is an arithmetic number, because the mean of its divisors is an integer number (450103113000).

Almost surely, 220116713526337 is an apocalyptic number.

It is an amenable number.

20116713526337 is a deficient number, since it is larger than the sum of its proper divisors (1488235897663).

20116713526337 is a wasteful number, since it uses less digits than its factorization.

20116713526337 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3430 (or 3411 counting only the distinct ones).

The product of its (nonzero) digits is 952560, while the sum is 47.

The spelling of 20116713526337 in words is "twenty trillion, one hundred sixteen billion, seven hundred thirteen million, five hundred twenty-six thousand, three hundred thirty-seven".

Divisors: 1 19 73 361 499 733 1387 2087 9481 13927 26353 36427 39653 53509 152351 180139 264613 365767 692113 753407 1016671 1041413 1529771 2894669 6949573 13150147 19316749 19786847 26700991 29065649 54998711 76023149 111673283 132041887 375950093 507318829 552247331 763355729 1444439831 2121792377 9639057751 14503758851 27444356789 40314055163 55724968217 275571418169 1058774396123 20116713526337