Search a number
-
+
11686192084 = 22722319713159
BaseRepresentation
bin10101110001000110…
…10010001111010100
31010011102122001211001
422320203102033110
5142413131121314
65211335353044
7562410664600
oct127043221724
933142561731
1011686192084
114a57607096
122321822784
131143140b78
147cc092500
15485e35674
hex2b88d23d4

11686192084 has 72 divisors (see below), whose sum is σ = 24951991680. Its totient is φ = 4765932864.

The previous prime is 11686192069. The next prime is 11686192097. The reversal of 11686192084 is 48029168611.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 881497 + ... + 894655.

It is an arithmetic number, because the mean of its divisors is an integer number (346555440).

Almost surely, 211686192084 is an apocalyptic number.

11686192084 is a gapful number since it is divisible by the number (14) 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 11686192084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12475995840).

11686192084 is an abundant number, since it is smaller than the sum of its proper divisors (13265799596).

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

11686192084 is a wasteful number, since it uses less digits than its factorization.

11686192084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13397 (or 13388 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 46.

The spelling of 11686192084 in words is "eleven billion, six hundred eighty-six million, one hundred ninety-two thousand, eighty-four".

Divisors: 1 2 4 7 14 23 28 46 49 92 98 161 196 197 322 394 644 788 1127 1379 2254 2758 4508 4531 5516 9062 9653 13159 18124 19306 26318 31717 38612 52636 63434 92113 126868 184226 222019 302657 368452 444038 605314 644791 888076 1210628 1289582 2118599 2579164 2592323 4237198 5184646 8474396 10369292 14830193 18146261 29660386 36292522 59320772 59623429 72585044 119246858 127023827 238493716 254047654 417364003 508095308 834728006 1669456012 2921548021 5843096042 11686192084