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20858340321 = 3371310184053
BaseRepresentation
bin10011011011010000…
…010000001111100001
31222211122122110211000
4103123100100033201
5320204213342241
613325430342213
71335613652550
oct233320201741
958748573730
1020858340321
118933a97895
1240614ba969
131c75476210
14101c2b9d97
158212b8eb6
hex4db4103e1

20858340321 has 64 divisors (see below), whose sum is σ = 38409315840. Its totient is φ = 10893139200.

The previous prime is 20858340313. The next prime is 20858340329. The reversal of 20858340321 is 12304385802.

20858340321 is a `hidden beast` number, since 2 + 0 + 8 + 583 + 40 + 32 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (20858340313) and next prime (20858340329).

It is not a de Polignac number, because 20858340321 - 23 = 20858340313 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (20858340329) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 206131 + ... + 290183.

It is an arithmetic number, because the mean of its divisors is an integer number (600145560).

Almost surely, 220858340321 is an apocalyptic number.

20858340321 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

20858340321 is a deficient number, since it is larger than the sum of its proper divisors (17550975519).

20858340321 is a wasteful number, since it uses less digits than its factorization.

20858340321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84183 (or 84177 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 20858340321 in words is "twenty billion, eight hundred fifty-eight million, three hundred forty thousand, three hundred twenty-one".

Divisors: 1 3 7 9 13 21 27 39 63 91 101 117 189 273 303 351 707 819 909 1313 2121 2457 2727 3939 6363 9191 11817 19089 27573 35451 82719 84053 248157 252159 588371 756477 1092689 1765113 2269431 3278067 5295339 7648823 8489353 9834201 15886017 22946469 25468059 29502603 59425471 68839407 76404177 110361589 178276413 206518221 229212531 331084767 534829239 772531123 993254301 1604487717 2317593369 2979762903 6952780107 20858340321