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5744385540 = 2234529122273
BaseRepresentation
bin1010101100110010…
…00101111000000100
3112211100002000120000
411112121011320010
543231030314130
62350002041300
7262231320465
oct52631057004
915740060500
105744385540
112488612973
121143949230
1370713b9ca
143c6cb0d6c
15239495260
hex156645e04

5744385540 has 120 divisors (see below), whose sum is σ = 18641894040. Its totient is φ = 1479002112.

The previous prime is 5744385533. The next prime is 5744385557. The reversal of 5744385540 is 455834475.

5744385540 is a `hidden beast` number, since 5 + 74 + 4 + 38 + 5 + 540 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1472717376 + 4271668164 = 38376^2 + 65358^2 .

It is a super-2 number, since 2×57443855402 = 65995930464322183200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 14157 + ... + 108116.

It is an arithmetic number, because the mean of its divisors is an integer number (155349117).

Almost surely, 25744385540 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 5744385540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9320947020).

5744385540 is an abundant number, since it is smaller than the sum of its proper divisors (12897508500).

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

5744385540 is a wasteful number, since it uses less digits than its factorization.

5744385540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122323 (or 122312 counting only the distinct ones).

The product of its (nonzero) digits is 1344000, while the sum is 45.

The square root of 5744385540 is about 75791.7247461753. The cubic root of 5744385540 is about 1790.9406476800.

The spelling of 5744385540 in words is "five billion, seven hundred forty-four million, three hundred eighty-five thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 29 30 36 45 54 58 60 81 87 90 108 116 135 145 162 174 180 261 270 290 324 348 405 435 522 540 580 783 810 870 1044 1305 1566 1620 1740 2349 2610 3132 3915 4698 5220 7830 9396 11745 15660 23490 46980 122273 244546 366819 489092 611365 733638 1100457 1222730 1467276 1834095 2200914 2445460 3301371 3545917 3668190 4401828 5502285 6602742 7091834 7336380 9904113 10637751 11004570 13205484 14183668 16506855 17729585 19808226 21275502 22009140 31913253 33013710 35459170 39616452 42551004 49520565 53188755 63826506 66027420 70918340 95739759 99041130 106377510 127653012 159566265 191479518 198082260 212755020 287219277 319132530 382959036 478698795 574438554 638265060 957397590 1148877108 1436096385 1914795180 2872192770 5744385540