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259394742740 = 225721314434561
BaseRepresentation
bin1111000110010100100…
…0011010100111010100
3220210112122222020101002
43301211020122213110
513222220023231430
6315055253322432
724512020635200
oct3614510324724
9823478866332
10259394742740
11a001062a551
1242332936418
131b5cb55c873
14c7aa41db00
156b329bb845
hex3c6521a9d4

259394742740 has 144 divisors (see below), whose sum is σ = 640083052224. Its totient is φ = 88037913600.

The previous prime is 259394742731. The next prime is 259394742749. The reversal of 259394742740 is 47247493952.

It is an interprime number because it is at equal distance from previous prime (259394742731) and next prime (259394742749).

It is a super-2 number, since 2×2593947427402 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (259394742749) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 56870060 + ... + 56874620.

It is an arithmetic number, because the mean of its divisors is an integer number (4445021196).

Almost surely, 2259394742740 is an apocalyptic number.

259394742740 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 259394742740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320041526112).

259394742740 is an abundant number, since it is smaller than the sum of its proper divisors (380688309484).

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

259394742740 is a wasteful number, since it uses less digits than its factorization.

259394742740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5158 (or 5149 counting only the distinct ones).

The product of its (nonzero) digits is 15240960, while the sum is 56.

The spelling of 259394742740 in words is "two hundred fifty-nine billion, three hundred ninety-four million, seven hundred forty-two thousand, seven hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 131 140 196 245 262 443 490 524 655 886 917 980 1310 1772 1834 2215 2620 3101 3668 4430 4561 4585 6202 6419 8860 9122 9170 12404 12838 15505 18244 18340 21707 22805 25676 31010 31927 32095 43414 45610 58033 62020 63854 64190 86828 91220 108535 116066 127708 128380 159635 217070 223489 232132 290165 319270 406231 434140 446978 580330 597491 638540 812462 893956 1117445 1160660 1194982 1624924 2020523 2031155 2234890 2389964 2843617 2987455 4041046 4062310 4182437 4469780 5687234 5974910 8082092 8124620 8364874 10102615 11374468 11949820 14143661 14218085 16729748 20205230 20912185 28287322 28436170 29277059 40410460 41824370 56574644 56872340 58554118 70718305 83648740 99005627 117108236 141436610 146385295 198011254 264688513 282873220 292770590 396022508 495028135 529377026 585541180 990056270 1058754052 1323442565 1852819591 1980112540 2646885130 3705639182 5293770260 7411278364 9264097955 12969737137 18528195910 25939474274 37056391820 51878948548 64848685685 129697371370 259394742740