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20157135737217 = 319964915201671
BaseRepresentation
bin1001001010101001100101…
…11010100101000110000001
32122101000002110002000202220
410211110302322211012001
510120223303222042332
6110512021010201253
74150206420526503
oct445246272450601
978330073060686
1020157135737217
1164716586a0176
122316707b83229
13b32a6b0130bb
144d98795bdd73
1524e500142d2c
hex125532ea5181

20157135737217 has 16 divisors (see below), whose sum is σ = 27015403699200. Its totient is φ = 13368499966800.

The previous prime is 20157135737191. The next prime is 20157135737231. The reversal of 20157135737217 is 71273753175102.

It is not a de Polignac number, because 20157135737217 - 28 = 20157135736961 is a prime.

It is a super-2 number, since 2×201571357372172 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 20157135737217.

It is not an unprimeable number, because it can be changed into a prime (20157135737237) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1274292 + ... + 6475962.

It is an arithmetic number, because the mean of its divisors is an integer number (1688462731200).

Almost surely, 220157135737217 is an apocalyptic number.

It is an amenable number.

20157135737217 is a deficient number, since it is larger than the sum of its proper divisors (6858267961983).

20157135737217 is a wasteful number, since it uses less digits than its factorization.

20157135737217 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5208364.

The product of its (nonzero) digits is 2160900, while the sum is 51.

The spelling of 20157135737217 in words is "twenty trillion, one hundred fifty-seven billion, one hundred thirty-five million, seven hundred thirty-seven thousand, two hundred seventeen".

Divisors: 1 3 199 597 6491 19473 1291709 3875127 5201671 15605013 1035132529 3105397587 33764046461 101292139383 6719045245739 20157135737217