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11682434320 = 245314710659
BaseRepresentation
bin10101110000101001…
…11100110100010000
31010011011120011010121
422320110330310100
5142411200344240
65211123040024
7562334024164
oct127024746420
933134504117
1011682434320
114a5547a8a7
122320510014
13114242663b
147cb794ca4
1548594204a
hex2b853cd10

11682434320 has 40 divisors (see below), whose sum is σ = 28037848320. Its totient is φ = 4522231680.

The previous prime is 11682434293. The next prime is 11682434333. The reversal of 11682434320 is 2343428611.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×116824343202 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2352850 + ... + 2357809.

It is an arithmetic number, because the mean of its divisors is an integer number (700946208).

Almost surely, 211682434320 is an apocalyptic number.

11682434320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11682434320 is an abundant number, since it is smaller than the sum of its proper divisors (16355414000).

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

11682434320 is a wasteful number, since it uses less digits than its factorization.

11682434320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4710703 (or 4710697 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 34.

The spelling of 11682434320 in words is "eleven billion, six hundred eighty-two million, four hundred thirty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 31 40 62 80 124 155 248 310 496 620 1240 2480 4710659 9421318 18842636 23553295 37685272 47106590 75370544 94213180 146030429 188426360 292060858 376852720 584121716 730152145 1168243432 1460304290 2336486864 2920608580 5841217160 11682434320