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5440779744 = 253315933083
BaseRepresentation
bin1010001000100101…
…11011010111100000
3112001011210020200220
411010102323113200
542120314422434
62255514443040
7251553602421
oct50422732740
915034706626
105440779744
1123421a6394
12107a133480
1368927a8ca
1439883d648
1521c9c2d49
hex1444bb5e0

5440779744 has 96 divisors (see below), whose sum is σ = 14772409344. Its totient is φ = 1751562240.

The previous prime is 5440779733. The next prime is 5440779767. The reversal of 5440779744 is 4479770445.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1763227 + ... + 1766309.

It is an arithmetic number, because the mean of its divisors is an integer number (153879264).

Almost surely, 25440779744 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 5440779744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7386204672).

5440779744 is an abundant number, since it is smaller than the sum of its proper divisors (9331629600).

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

5440779744 is a wasteful number, since it uses less digits than its factorization.

5440779744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3720 (or 3712 counting only the distinct ones).

The product of its (nonzero) digits is 3951360, while the sum is 51.

The square root of 5440779744 is about 73761.6414134067. The cubic root of 5440779744 is about 1758.8158942987.

The spelling of 5440779744 in words is "five billion, four hundred forty million, seven hundred seventy-nine thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 93 96 124 186 248 372 496 593 744 992 1186 1488 1779 2372 2976 3083 3558 4744 6166 7116 9249 9488 12332 14232 18383 18498 18976 24664 28464 36766 36996 49328 55149 56928 73532 73992 95573 98656 110298 147064 147984 191146 220596 286719 294128 295968 382292 441192 573438 588256 764584 882384 1146876 1529168 1764768 1828219 2293752 3058336 3656438 4587504 5484657 7312876 9175008 10969314 14625752 21938628 29251504 43877256 56674789 58503008 87754512 113349578 170024367 175509024 226699156 340048734 453398312 680097468 906796624 1360194936 1813593248 2720389872 5440779744