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21763061442 = 2322138356543
BaseRepresentation
bin10100010001001011…
…011111011011000010
32002011201001001212200
4110101023133123002
5324032320431232
613555305534030
71400210653503
oct242113373302
962151031780
1021763061442
1192587541a1
1242744a4316
13208aa33765
1410a6504baa
1587592977c
hex5112df6c2

21763061442 has 24 divisors (see below), whose sum is σ = 47156338944. Its totient is φ = 7253886264.

The previous prime is 21763061423. The next prime is 21763061447. The reversal of 21763061442 is 24416036712.

21763061442 is a `hidden beast` number, since 2 + 1 + 7 + 6 + 30 + 614 + 4 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 21763061397 and 21763061406.

It is not an unprimeable number, because it can be changed into a prime (21763061447) 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, 356623 + ... + 413165.

It is an arithmetic number, because the mean of its divisors is an integer number (1964847456).

Almost surely, 221763061442 is an apocalyptic number.

21763061442 is an abundant number, since it is smaller than the sum of its proper divisors (25393277502).

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

21763061442 is a wasteful number, since it uses less digits than its factorization.

21763061442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77934 (or 77931 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

It can be divided in two parts, 21763061 and 442, that added together give a triangular number (21763503 = T6597).

The spelling of 21763061442 in words is "twenty-one billion, seven hundred sixty-three million, sixty-one thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 18 21383 42766 56543 64149 113086 128298 169629 192447 339258 384894 508887 1017774 1209058969 2418117938 3627176907 7254353814 10881530721 21763061442