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5744664120 = 2335134385639
BaseRepresentation
bin1010101100110100…
…01001111000111000
3112211100121011200210
411112122021320320
543231113222440
62350012031120
7262233560616
oct52632117070
915740534623
105744664120
1124887931a8
121143a624a0
13707208750
143c6d446b6
152394eca80
hex156689e38

5744664120 has 128 divisors (see below), whose sum is σ = 18991526400. Its totient is φ = 1381169664.

The previous prime is 5744664073. The next prime is 5744664131. The reversal of 5744664120 is 214664475.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24261 + ... + 109899.

It is an arithmetic number, because the mean of its divisors is an integer number (148371300).

Almost surely, 25744664120 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 5744664120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9495763200).

5744664120 is an abundant number, since it is smaller than the sum of its proper divisors (13246862280).

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

5744664120 is a wasteful number, since it uses less digits than its factorization.

5744664120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85709 (or 85705 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 39.

The square root of 5744664120 is about 75793.5625234756. The cubic root of 5744664120 is about 1790.9695983936.

The spelling of 5744664120 in words is "five billion, seven hundred forty-four million, six hundred sixty-four thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 43 52 60 65 78 86 104 120 129 130 156 172 195 215 258 260 312 344 390 430 516 520 559 645 780 860 1032 1118 1290 1560 1677 1720 2236 2580 2795 3354 4472 5160 5590 6708 8385 11180 13416 16770 22360 33540 67080 85639 171278 256917 342556 428195 513834 685112 856390 1027668 1113307 1284585 1712780 2055336 2226614 2569170 3339921 3425560 3682477 4453228 5138340 5566535 6679842 7364954 8906456 10276680 11047431 11133070 13359684 14729908 16699605 18412385 22094862 22266140 26719368 29459816 33399210 36824770 44189724 44532280 47872201 55237155 66798420 73649540 88379448 95744402 110474310 133596840 143616603 147299080 191488804 220948620 239361005 287233206 382977608 441897240 478722010 574466412 718083015 957444020 1148932824 1436166030 1914888040 2872332060 5744664120