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21766695072 = 253376128011
BaseRepresentation
bin10100010001011001…
…010110100010100000
32002011221212200021120
4110101121112202200
5324034233220242
613555515452240
71400253566253
oct242131264240
962157780246
1021766695072
11925a8061a1
124275757080
13208b706635
1410a6bad09a
15875de61ec
hex5116568a0

21766695072 has 48 divisors (see below), whose sum is σ = 58681842912. Its totient is φ = 7059467520.

The previous prime is 21766695061. The next prime is 21766695077. The reversal of 21766695072 is 27059666712.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (21766695077) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3060454 + ... + 3067557.

It is an arithmetic number, because the mean of its divisors is an integer number (1222538394).

Almost surely, 221766695072 is an apocalyptic number.

It is an amenable number.

21766695072 is an abundant number, since it is smaller than the sum of its proper divisors (36915147840).

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

21766695072 is a wasteful number, since it uses less digits than its factorization.

21766695072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6128061 (or 6128053 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 51.

The spelling of 21766695072 in words is "twenty-one billion, seven hundred sixty-six million, six hundred ninety-five thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 74 96 111 148 222 296 444 592 888 1184 1776 3552 6128011 12256022 18384033 24512044 36768066 49024088 73536132 98048176 147072264 196096352 226736407 294144528 453472814 588289056 680209221 906945628 1360418442 1813891256 2720836884 3627782512 5441673768 7255565024 10883347536 21766695072