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21346440552 = 23322851103991
BaseRepresentation
bin10011111000010110…
…001101010101101000
32001002200002112110100
4103320112031111220
5322204142044202
613450104145400
71353661515363
oct237026152550
961080075410
1021346440552
119064566808
124178a68260
132022622b18
1410670550da
1584e08141c
hex4f858d568

21346440552 has 48 divisors (see below), whose sum is σ = 57834110880. Its totient is φ = 7112916000.

The previous prime is 21346440551. The next prime is 21346440569. The reversal of 21346440552 is 25504464312.

21346440552 is a `hidden beast` number, since 2 + 1 + 3 + 4 + 64 + 40 + 552 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (21346440551) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 153277 + ... + 257267.

It is an arithmetic number, because the mean of its divisors is an integer number (1204877310).

Almost surely, 221346440552 is an apocalyptic number.

It is an amenable number.

21346440552 is an abundant number, since it is smaller than the sum of its proper divisors (36487670328).

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

21346440552 is a wasteful number, since it uses less digits than its factorization.

21346440552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106854 (or 106847 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

It can be divided in two parts, 213464 and 40552, that added together give a square (254016 = 5042).

The spelling of 21346440552 in words is "twenty-one billion, three hundred forty-six million, four hundred forty thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 2851 5702 8553 11404 17106 22808 25659 34212 51318 68424 102636 103991 205272 207982 311973 415964 623946 831928 935919 1247892 1871838 2495784 3743676 7487352 296478341 592956682 889435023 1185913364 1778870046 2371826728 2668305069 3557740092 5336610138 7115480184 10673220276 21346440552