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426004665264 = 243223960113397
BaseRepresentation
bin1100011001011111101…
…10110101001110110000
31111201120222221020110100
412030233312311032300
523434424143242024
6523412010232400
742530535623433
oct6145766651660
91451528836410
10426004665264
111547385892a2
126a690125700
1331231056339
1416893b4d81a
15b1348be7c9
hex632fdb53b0

426004665264 has 120 divisors (see below), whose sum is σ = 1244279548512. Its totient is φ = 135803289600.

The previous prime is 426004665221. The next prime is 426004665283. The reversal of 426004665264 is 462566400624.

426004665264 is a `hidden beast` number, since 4 + 2 + 60 + 0 + 4 + 66 + 526 + 4 = 666.

It is a super-3 number, since 3×4260046652643 (a number of 36 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31791814 + ... + 31805210.

Almost surely, 2426004665264 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 426004665264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (622139774256).

426004665264 is an abundant number, since it is smaller than the sum of its proper divisors (818274883248).

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

426004665264 is a wasteful number, since it uses less digits than its factorization.

426004665264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23035 (or 23026 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 45.

The spelling of 426004665264 in words is "four hundred twenty-six billion, four million, six hundred sixty-five thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 36 46 48 69 72 92 138 144 184 207 276 368 414 552 828 1104 1656 3312 9601 13397 19202 26794 28803 38404 40191 53588 57606 76808 80382 86409 107176 115212 120573 153616 160764 172818 214352 220823 230424 241146 308131 321528 345636 441646 460848 482292 616262 643056 662469 691272 883292 924393 964584 1232524 1324938 1382544 1766584 1848786 1929168 1987407 2465048 2649876 2773179 3533168 3697572 3974814 4930096 5299752 5546358 7395144 7949628 10599504 11092716 14790288 15899256 22185432 31798512 44370864 128624597 257249194 385873791 514498388 771747582 1028996776 1157621373 1543495164 2057993552 2315242746 2958365731 3086990328 4630485492 5916731462 6173980656 8875097193 9260970984 11833462924 17750194386 18521941968 23666925848 26625291579 35500388772 47333851696 53250583158 71000777544 106501166316 142001555088 213002332632 426004665264