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5740418640 = 2435112174401
BaseRepresentation
bin1010101100010011…
…11101011001010000
3112211001121110222210
411112021331121100
543224021344030
62345341032120
7262152516255
oct52611753120
915731543883
105740418640
112486353540
121142555640
13706380228
143c655b42c
15238e5ebb0
hex15627d650

5740418640 has 80 divisors (see below), whose sum is σ = 19413061056. Its totient is φ = 1391616000.

The previous prime is 5740418627. The next prime is 5740418701. The reversal of 5740418640 is 468140475.

It is a tau number, because it is divible by the number of its divisors (80).

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, 1084561 + ... + 1089840.

Almost surely, 25740418640 is an apocalyptic number.

It is an amenable number.

5740418640 is an abundant number, since it is smaller than the sum of its proper divisors (13672642416).

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

5740418640 is a wasteful number, since it uses less digits than its factorization.

5740418640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2174428 (or 2174422 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 39.

The square root of 5740418640 is about 75765.5504830527. The cubic root of 5740418640 is about 1790.5282961521.

The spelling of 5740418640 in words is "five billion, seven hundred forty million, four hundred eighteen thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 880 1320 2640 2174401 4348802 6523203 8697604 10872005 13046406 17395208 21744010 23918411 26092812 32616015 34790416 43488020 47836822 52185624 65232030 71755233 86976040 95673644 104371248 119592055 130464060 143510466 173952080 191347288 239184110 260928120 287020932 358776165 382694576 478368220 521856240 574041864 717552330 956736440 1148083728 1435104660 1913472880 2870209320 5740418640