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20856306168 = 23334314331567
BaseRepresentation
bin10011011011001000…
…011111100111111000
31222211111211010111000
4103123020133213320
5320203203244133
613325315005000
71335560451225
oct233310374770
958744733430
1020856306168
118932928575
124060899760
131c74c13389
14101bd0a94c
15821016413
hex4db21f9f8

20856306168 has 128 divisors (see below), whose sum is σ = 59360716800. Its totient is φ = 6781356288.

The previous prime is 20856306131. The next prime is 20856306169. The reversal of 20856306168 is 86160365802.

20856306168 is a `hidden beast` number, since 2 + 0 + 8 + 5 + 630 + 6 + 1 + 6 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20856306169) 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, 13308921 + ... + 13310487.

It is an arithmetic number, because the mean of its divisors is an integer number (463755600).

Almost surely, 220856306168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20856306168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29680358400).

20856306168 is an abundant number, since it is smaller than the sum of its proper divisors (38504410632).

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

20856306168 is a wasteful number, since it uses less digits than its factorization.

20856306168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3058 (or 3048 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 20856306168 in words is "twenty billion, eight hundred fifty-six million, three hundred six thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 43 54 72 86 108 129 172 216 258 344 387 516 774 1032 1161 1433 1548 1567 2322 2866 3096 3134 4299 4644 4701 5732 6268 8598 9288 9402 11464 12536 12897 14103 17196 18804 25794 28206 34392 37608 38691 42309 51588 56412 61619 67381 77382 84618 103176 112824 123238 134762 154764 169236 184857 202143 246476 269524 309528 338472 369714 404286 492952 539048 554571 606429 739428 808572 1109142 1212858 1478856 1617144 1663713 1819287 2218284 2245511 2425716 3327426 3638574 4436568 4491022 4851432 6654852 6736533 7277148 8982044 13309704 13473066 14554296 17964088 20209599 26946132 40419198 53892264 60628797 80838396 96556973 121257594 161676792 193113946 242515188 289670919 386227892 485030376 579341838 772455784 869012757 1158683676 1738025514 2317367352 2607038271 3476051028 5214076542 6952102056 10428153084 20856306168