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20835172137 = 31317311013729
BaseRepresentation
bin10011011001110111…
…110111111100101001
31222210001001102001010
4103121313313330221
5320132301002022
613323242014133
71335213020043
oct233167677451
958701042033
1020835172137
118921a0322a
1240557a7349
131c70723a30
1410191a8a93
1581e23e50c
hex4d9df7f29

20835172137 has 32 divisors (see below), whose sum is σ = 32698874880. Its totient is φ = 11678146560.

The previous prime is 20835172129. The next prime is 20835172187. The reversal of 20835172137 is 73127153802.

It is not a de Polignac number, because 20835172137 - 23 = 20835172129 is a prime.

It is a super-2 number, since 2×208351721372 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 20835172095 and 20835172104.

It is not an unprimeable number, because it can be changed into a prime (20835172187) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 486312 + ... + 527417.

It is an arithmetic number, because the mean of its divisors is an integer number (1021839840).

Almost surely, 220835172137 is an apocalyptic number.

It is an amenable number.

20835172137 is a deficient number, since it is larger than the sum of its proper divisors (11863702743).

20835172137 is a wasteful number, since it uses less digits than its factorization.

20835172137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1013793.

The product of its (nonzero) digits is 70560, while the sum is 39.

The spelling of 20835172137 in words is "twenty billion, eight hundred thirty-five million, one hundred seventy-two thousand, one hundred thirty-seven".

Divisors: 1 3 13 17 31 39 51 93 221 403 527 663 1209 1581 6851 20553 1013729 3041187 13178477 17233393 31425599 39535431 51700179 94276797 224034109 408532787 534235183 672102327 1225598361 1602705549 6945057379 20835172137