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20449185744 = 24313291130039
BaseRepresentation
bin10011000010110111…
…011100111111010000
31221210010202021020210
4103002313130333100
5313334442420434
613221053004120
71322515132221
oct230267347720
957703667223
1020449185744
118744039a09
123b68483640
131c0b77ab10
14dbdc11248
157ea3e7ee9
hex4c2ddcfd0

20449185744 has 80 divisors (see below), whose sum is σ = 58852483200. Its totient is φ = 6075084288.

The previous prime is 20449185739. The next prime is 20449185761. The reversal of 20449185744 is 44758194402.

It is a super-2 number, since 2×204491857442 (a number of 21 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 20449185693 and 20449185702.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 546924 + ... + 583115.

It is an arithmetic number, because the mean of its divisors is an integer number (735656040).

Almost surely, 220449185744 is an apocalyptic number.

20449185744 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

20449185744 is an abundant number, since it is smaller than the sum of its proper divisors (38403297456).

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

20449185744 is a wasteful number, since it uses less digits than its factorization.

20449185744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1130092 (or 1130086 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 48.

The spelling of 20449185744 in words is "twenty billion, four hundred forty-nine million, one hundred eighty-five thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 29 39 48 52 58 78 87 104 116 156 174 208 232 312 348 377 464 624 696 754 1131 1392 1508 2262 3016 4524 6032 9048 18096 1130039 2260078 3390117 4520156 6780234 9040312 13560468 14690507 18080624 27120936 29381014 32771131 44071521 54241872 58762028 65542262 88143042 98313393 117524056 131084524 176286084 196626786 235048112 262169048 352572168 393253572 426024703 524338096 705144336 786507144 852049406 1278074109 1573014288 1704098812 2556148218 3408197624 5112296436 6816395248 10224592872 20449185744