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20793822816 = 2531317257653
BaseRepresentation
bin10011010111011010…
…001000111001100000
31222200011020122102210
4103113122020321200
5320041204312231
613315203442120
71334201402064
oct232732107140
958604218383
1020793822816
118900630938
124043986340
131c64ca6c90
1410138c3aa4
1581a7c2a46
hex4d7688e60

20793822816 has 144 divisors (see below), whose sum is σ = 62444816784. Its totient is φ = 6021636096.

The previous prime is 20793822809. The next prime is 20793822823. The reversal of 20793822816 is 61822839702.

It is an interprime number because it is at equal distance from previous prime (20793822809) and next prime (20793822823).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 331846 + ... + 389498.

It is an arithmetic number, because the mean of its divisors is an integer number (433644561).

Almost surely, 220793822816 is an apocalyptic number.

20793822816 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20793822816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31222408392).

20793822816 is an abundant number, since it is smaller than the sum of its proper divisors (41650993968).

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

20793822816 is a wasteful number, since it uses less digits than its factorization.

20793822816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57713 (or 57688 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 48.

The spelling of 20793822816 in words is "twenty billion, seven hundred ninety-three million, eight hundred twenty-two thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 12 13 16 17 24 26 32 34 39 48 51 52 68 78 96 102 104 136 156 204 208 221 272 289 312 408 416 442 544 578 624 663 816 867 884 1156 1248 1326 1632 1734 1768 2312 2652 3468 3536 3757 4624 5304 6936 7072 7514 9248 10608 11271 13872 15028 21216 22542 27744 30056 45084 57653 60112 90168 115306 120224 172959 180336 230612 345918 360672 461224 691836 749489 922448 980101 1383672 1498978 1844896 1960202 2248467 2767344 2940303 2997956 3920404 4496934 5534688 5880606 5995912 7840808 8993868 11761212 11991824 12741313 15681616 16661717 17987736 23522424 23983648 25482626 31363232 33323434 35975472 38223939 47044848 49985151 50965252 66646868 71950944 76447878 94089696 99970302 101930504 133293736 152895756 199940604 203861008 216602321 266587472 305791512 399881208 407722016 433204642 533174944 611583024 649806963 799762416 866409284 1223166048 1299613926 1599524832 1732818568 2599227852 3465637136 5198455704 6931274272 10396911408 20793822816