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20741637644 = 227131722315031
BaseRepresentation
bin10011010100010011…
…000100011000001100
31222112112001100211122
4103110103010120030
5314434324401034
613310101140112
71332666003530
oct232423043014
958475040748
1020741637644
1188841283a2
12402a3ba638
131c57235090
14100a9bbbc0
15815e1562e
hex4d44c460c

20741637644 has 96 divisors (see below), whose sum is σ = 47517474816. Its totient is φ = 7687664640.

The previous prime is 20741637601. The next prime is 20741637647. The reversal of 20741637644 is 44673614702.

It is a junction number, because it is equal to n+sod(n) for n = 20741637595 and 20741637604.

It is not an unprimeable number, because it can be changed into a prime (20741637647) 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 31 ways as a sum of consecutive naturals, for example, 1372409 + ... + 1387439.

It is an arithmetic number, because the mean of its divisors is an integer number (494973696).

Almost surely, 220741637644 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 20741637644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23758737408).

20741637644 is an abundant number, since it is smaller than the sum of its proper divisors (26775837172).

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

20741637644 is a wasteful number, since it uses less digits than its factorization.

20741637644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15295 (or 15293 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 44.

The spelling of 20741637644 in words is "twenty billion, seven hundred forty-one million, six hundred thirty-seven thousand, six hundred forty-four".

Divisors: 1 2 4 7 13 14 17 26 28 34 52 68 91 119 182 221 223 238 364 442 446 476 884 892 1547 1561 2899 3094 3122 3791 5798 6188 6244 7582 11596 15031 15164 20293 26537 30062 40586 49283 53074 60124 81172 98566 105217 106148 195403 197132 210434 255527 344981 390806 420868 511054 689962 781612 1022108 1367821 1379924 1788689 2735642 3321851 3351913 3577378 5471284 6643702 6703826 7154756 13287404 13407652 23252957 23463391 43574869 46505914 46926782 56982521 87149738 93011828 93853564 113965042 174299476 227930084 305024083 398877647 610048166 740772773 797755294 1220096332 1481545546 1595510588 2963091092 5185409411 10370818822 20741637644