Search a number
-
+
20910890286 = 23311137013863
BaseRepresentation
bin10011011110011000…
…101101110100101110
31222222022112021211000
4103132120231310232
5320311141442121
613334544541130
71340122430466
oct233630556456
958868467730
1020910890286
11896071a410
1240770217a6
131c83315180
141025278ba6
15825be9526
hex4de62dd2e

20910890286 has 128 divisors (see below), whose sum is σ = 54684564480. Its totient is φ = 5839344000.

The previous prime is 20910890281. The next prime is 20910890293. The reversal of 20910890286 is 68209801902.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20910890281) 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, 5411191 + ... + 5415053.

It is an arithmetic number, because the mean of its divisors is an integer number (427223160).

Almost surely, 220910890286 is an apocalyptic number.

20910890286 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 20910890286, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27342282240).

20910890286 is an abundant number, since it is smaller than the sum of its proper divisors (33773674194).

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

20910890286 is a wasteful number, since it uses less digits than its factorization.

20910890286 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4599 (or 4593 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 20910890286 in words is "twenty billion, nine hundred ten million, eight hundred ninety thousand, two hundred eighty-six".

Divisors: 1 2 3 6 9 11 13 18 22 26 27 33 39 54 66 78 99 117 143 198 234 286 297 351 429 594 701 702 858 1287 1402 2103 2574 3861 3863 4206 6309 7711 7722 7726 9113 11589 12618 15422 18226 18927 23133 23178 27339 34767 37854 42493 46266 50219 54678 69399 69534 82017 84986 100243 100438 104301 127479 138798 150657 164034 200486 208197 208602 246051 254958 300729 301314 382437 416394 451971 492102 552409 601458 764874 902187 903942 1104818 1147311 1355913 1657227 1804374 2294622 2706561 2707963 2711826 3314454 4971681 5413122 5415926 8123889 9943362 14915043 16247778 24371667 29787593 29830086 35203519 48743334 59575186 70407038 73115001 89362779 105610557 146230002 178725558 211221114 268088337 316831671 387238709 536176674 633663342 774477418 804265011 950495013 1161716127 1608530022 1900990026 2323432254 3485148381 6970296762 10455445143 20910890286