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5704745640 = 23351110341959
BaseRepresentation
bin1010101000000011…
…11000001010101000
3112201120111002211120
411110001320022220
543140403330030
62342024255240
7261240352326
oct52401701250
915646432746
105704745640
1124681a8920
121132611520
136cbb70049
143c1912d16
15235c65010
hex1540782a8

5704745640 has 128 divisors (see below), whose sum is σ = 18851788800. Its totient is φ = 1369509120.

The previous prime is 5704745621. The next prime is 5704745647. The reversal of 5704745640 is 465474075.

It is a junction number, because it is equal to n+sod(n) for n = 5704745592 and 5704745601.

It is not an unprimeable number, because it can be changed into a prime (5704745647) 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, 114981 + ... + 156939.

It is an arithmetic number, because the mean of its divisors is an integer number (147279600).

Almost surely, 25704745640 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 5704745640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9425894400).

5704745640 is an abundant number, since it is smaller than the sum of its proper divisors (13147043160).

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

5704745640 is a wasteful number, since it uses less digits than its factorization.

5704745640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42087 (or 42083 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 42.

The square root of 5704745640 is about 75529.7665824541. The cubic root of 5704745640 is about 1786.8115936187.

The spelling of 5704745640 in words is "five billion, seven hundred four million, seven hundred forty-five thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 103 110 120 132 165 206 220 264 309 330 412 440 515 618 660 824 1030 1133 1236 1320 1545 2060 2266 2472 3090 3399 4120 4532 5665 6180 6798 9064 11330 12360 13596 16995 22660 27192 33990 41959 45320 67980 83918 125877 135960 167836 209795 251754 335672 419590 461549 503508 629385 839180 923098 1007016 1258770 1384647 1678360 1846196 2307745 2517540 2769294 3692392 4321777 4615490 5035080 5538588 6923235 8643554 9230980 11077176 12965331 13846470 17287108 18461960 21608885 25930662 27692940 34574216 43217770 47539547 51861324 55385880 64826655 86435540 95079094 103722648 129653310 142618641 172871080 190158188 237697735 259306620 285237282 380316376 475395470 518613240 570474564 713093205 950790940 1140949128 1426186410 1901581880 2852372820 5704745640