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20481662976 = 21333372473
BaseRepresentation
bin10011000100110011…
…010110000000000000
31221212101212021122020
4103010303112000000
5313421301203401
613224213041440
71323361156065
oct230463260000
957771767566
1020481662976
1187604015a5
123b77326280
131c1540c508
14dc4266c6c
157ed1b0d36
hex4c4cd6000

20481662976 has 112 divisors (see below), whose sum is σ = 54798644784. Its totient is φ = 6804209664.

The previous prime is 20481662953. The next prime is 20481663031. The reversal of 20481662976 is 67926618402.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8280876 + ... + 8283348.

Almost surely, 220481662976 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20481662976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27399322392).

20481662976 is an abundant number, since it is smaller than the sum of its proper divisors (34316981808).

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

20481662976 is an equidigital number, since it uses as much as digits as its factorization.

20481662976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2839 (or 2815 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 51.

The spelling of 20481662976 in words is "twenty billion, four hundred eighty-one million, six hundred sixty-two thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 337 384 512 674 768 1011 1024 1348 1536 2022 2048 2473 2696 3072 4044 4096 4946 5392 6144 7419 8088 8192 9892 10784 12288 14838 16176 19784 21568 24576 29676 32352 39568 43136 59352 64704 79136 86272 118704 129408 158272 172544 237408 258816 316544 345088 474816 517632 633088 690176 833401 949632 1035264 1266176 1380352 1666802 1899264 2070528 2500203 2532352 2760704 3333604 3798528 4141056 5000406 5064704 6667208 7597056 8282112 10000812 10129408 13334416 15194112 20001624 20258816 26668832 30388224 40003248 53337664 60776448 80006496 106675328 160012992 213350656 320025984 426701312 640051968 853402624 1280103936 1706805248 2560207872 3413610496 5120415744 6827220992 10240831488 20481662976