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10681092820 = 22519237316741
BaseRepresentation
bin10011111001010010…
…01000101011010100
31000120101100201211101
421330221020223110
5133333324432240
64523512515444
7525454535206
oct117451105324
930511321741
1010681092820
114591220142
1220a10abb84
131012b39988
147347b8776
15427a9839a
hex27ca48ad4

10681092820 has 96 divisors (see below), whose sum is σ = 24976385280. Its totient is φ = 3818327040.

The previous prime is 10681092803. The next prime is 10681092871. The reversal of 10681092820 is 2829018601.

It is a super-2 number, since 2×106810928202 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10681092820.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 629650 + ... + 646390.

It is an arithmetic number, because the mean of its divisors is an integer number (260170680).

Almost surely, 210681092820 is an apocalyptic number.

10681092820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10681092820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12488192640).

10681092820 is an abundant number, since it is smaller than the sum of its proper divisors (14295292460).

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

10681092820 is a wasteful number, since it uses less digits than its factorization.

10681092820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16865 (or 16863 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 37.

The spelling of 10681092820 in words is "ten billion, six hundred eighty-one million, ninety-two thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 19 20 23 38 46 73 76 92 95 115 146 190 230 292 365 380 437 460 730 874 1387 1460 1679 1748 2185 2774 3358 4370 5548 6716 6935 8395 8740 13870 16741 16790 27740 31901 33482 33580 63802 66964 83705 127604 159505 167410 318079 319010 334820 385043 636158 638020 770086 1222093 1272316 1540172 1590395 1925215 2444186 3180790 3850430 4888372 6110465 6361580 7315817 7700860 12220930 14631634 23219767 24441860 28108139 29263268 36579085 46439534 56216278 73158170 92879068 112432556 116098835 140540695 146316340 232197670 281081390 464395340 534054641 562162780 1068109282 2136218564 2670273205 5340546410 10681092820