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5739168384 = 27333153569
BaseRepresentation
bin1010101100001010…
…01100001010000000
3112210222020221222000
411112011030022000
543223211342014
62345254144000
7262136061225
oct52605141200
915728227860
105739168384
11248567a174
121142052000
13706033131
143c631394c
15238cb4509
hex15614c280

5739168384 has 128 divisors (see below), whose sum is σ = 17485248000. Its totient is φ = 1851310080.

The previous prime is 5739168373. The next prime is 5739168451. The reversal of 5739168384 is 4838619375.

5739168384 is a `hidden beast` number, since 573 + 9 + 1 + 68 + 3 + 8 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 5739168384.

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 15 ways as a sum of consecutive naturals, for example, 80352 + ... + 133920.

It is an arithmetic number, because the mean of its divisors is an integer number (136603500).

Almost surely, 25739168384 is an apocalyptic number.

5739168384 is a gapful number since it is divisible by the number (54) 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 5739168384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8742624000).

5739168384 is an abundant number, since it is smaller than the sum of its proper divisors (11746079616).

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

5739168384 is a wasteful number, since it uses less digits than its factorization.

5739168384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53623 (or 53605 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 54.

The square root of 5739168384 is about 75757.2992126831. The cubic root of 5739168384 is about 1790.3982951058.

The spelling of 5739168384 in words is "five billion, seven hundred thirty-nine million, one hundred sixty-eight thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 32 36 48 54 62 64 72 93 96 108 124 128 144 186 192 216 248 279 288 372 384 432 496 558 576 744 837 864 992 1116 1152 1488 1674 1728 1984 2232 2976 3348 3456 3968 4464 5952 6696 8928 11904 13392 17856 26784 35712 53568 53569 107136 107138 160707 214276 321414 428552 482121 642828 857104 964242 1285656 1446363 1660639 1714208 1928484 2571312 2892726 3321278 3428416 3856968 4981917 5142624 5785452 6642556 6856832 7713936 9963834 10285248 11570904 13285112 14945751 15427872 19927668 20570496 23141808 26570224 29891502 30855744 39855336 44837253 46283616 53140448 59783004 61711488 79710672 89674506 92567232 106280896 119566008 159421344 179349012 185134464 212561792 239132016 318842688 358698024 478264032 637685376 717396048 956528064 1434792096 1913056128 2869584192 5739168384