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20006314146 = 2337134071289
BaseRepresentation
bin10010101000011110…
…000010000010100010
31220122021102001122000
4102220132002002202
5311433104023041
613105112424430
71305526602330
oct225036020242
956567361560
1020006314146
118537051a25
123a640a8116
131b6aaa8910
14d7b08ab50
157c15b6bb6
hex4a87820a2

20006314146 has 64 divisors (see below), whose sum is σ = 54718137600. Its totient is φ = 5276389248.

The previous prime is 20006314127. The next prime is 20006314147. The reversal of 20006314146 is 64141360002.

20006314146 is a `hidden beast` number, since 20 + 0 + 0 + 631 + 4 + 1 + 4 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (20006314147) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2030731 + ... + 2040558.

It is an arithmetic number, because the mean of its divisors is an integer number (854970900).

Almost surely, 220006314146 is an apocalyptic number.

20006314146 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

20006314146 is an abundant number, since it is smaller than the sum of its proper divisors (34711823454).

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

20006314146 is a wasteful number, since it uses less digits than its factorization.

20006314146 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4071320 (or 4071314 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 20006314146 its reverse (64141360002), we get a palindrome (84147674148).

The spelling of 20006314146 in words is "twenty billion, six million, three hundred fourteen thousand, one hundred forty-six".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 27 39 42 54 63 78 91 117 126 182 189 234 273 351 378 546 702 819 1638 2457 4914 4071289 8142578 12213867 24427734 28499023 36641601 52926757 56998046 73283202 85497069 105853514 109924803 158780271 170994138 219849606 256491207 317560542 370487299 476340813 512982414 740974598 769473621 952681626 1111461897 1429022439 1538947242 2222923794 2858044878 3334385691 6668771382 10003157073 20006314146