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5703757640 = 2357412691847
BaseRepresentation
bin1010100111111100…
…00110111101001000
3112201111121220112222
411103332012331020
543140130221030
62341551153212
7261226066010
oct52376067510
915644556488
105703757640
112467693599
121132215808
136cb8b5429
143c1736c40
15235b1c3e5
hex153f86f48

5703757640 has 128 divisors (see below), whose sum is σ = 15088550400. Its totient is φ = 1899755520.

The previous prime is 5703757519. The next prime is 5703757643. The reversal of 5703757640 is 467573075.

It is a junction number, because it is equal to n+sod(n) for n = 5703757591 and 5703757600.

It is not an unprimeable number, because it can be changed into a prime (5703757643) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3087197 + ... + 3089043.

It is an arithmetic number, because the mean of its divisors is an integer number (117879300).

Almost surely, 25703757640 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 5703757640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7544275200).

5703757640 is an abundant number, since it is smaller than the sum of its proper divisors (9384792760).

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

5703757640 is a wasteful number, since it uses less digits than its factorization.

5703757640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2175 (or 2171 counting only the distinct ones).

The product of its (nonzero) digits is 617400, while the sum is 44.

The square root of 5703757640 is about 75523.2258315281. The cubic root of 5703757640 is about 1786.7084355412.

The spelling of 5703757640 in words is "five billion, seven hundred three million, seven hundred fifty-seven thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 41 56 70 82 140 164 205 269 280 287 328 410 538 574 820 1076 1148 1345 1435 1640 1847 1883 2152 2296 2690 2870 3694 3766 5380 5740 7388 7532 9235 9415 10760 11029 11480 12929 14776 15064 18470 18830 22058 25858 36940 37660 44116 51716 55145 64645 73880 75320 75727 77203 88232 103432 110290 129290 151454 154406 220580 258580 302908 308812 378635 386015 441160 496843 517160 530089 605816 617624 757270 772030 993686 1060178 1514540 1544060 1987372 2120356 2484215 2650445 3029080 3088120 3477901 3974744 4240712 4968430 5300890 6955802 9936860 10601780 13911604 17389505 19873720 20370563 21203560 27823208 34779010 40741126 69558020 81482252 101852815 139116040 142593941 162964504 203705630 285187882 407411260 570375764 712969705 814822520 1140751528 1425939410 2851878820 5703757640