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463163460136 = 2313711393111451
BaseRepresentation
bin1101011110101101011…
…00011000101000101000
31122021111122202121020021
412233112230120220220
530042024321211021
6552435132210224
745314423311366
oct6572654305050
91567448677207
10463163460136
11169476775923
1275920609974
13348a35b2420
14185bac4c636
15c0abc2cc41
hex6bd6b18a28

463163460136 has 128 divisors (see below), whose sum is σ = 958961203200. Its totient is φ = 208424160000.

The previous prime is 463163460127. The next prime is 463163460163. The reversal of 463163460136 is 631064361364.

It is a super-2 number, since 2×4631634601362 (a number of 24 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (43) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 463163460092 and 463163460101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 319202211 + ... + 319203661.

It is an arithmetic number, because the mean of its divisors is an integer number (7491884400).

Almost surely, 2463163460136 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 463163460136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479480601600).

463163460136 is an abundant number, since it is smaller than the sum of its proper divisors (495797743064).

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

463163460136 is a wasteful number, since it uses less digits than its factorization.

463163460136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1991 (or 1987 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 43.

The spelling of 463163460136 in words is "four hundred sixty-three billion, one hundred sixty-three million, four hundred sixty thousand, one hundred thirty-six".

Divisors: 1 2 4 8 13 26 52 71 104 139 142 278 284 311 556 568 622 923 1112 1244 1451 1807 1846 2488 2902 3614 3692 4043 5804 7228 7384 8086 9869 11608 14456 16172 18863 19738 22081 32344 37726 39476 43229 44162 75452 78952 86458 88324 103021 128297 150904 172916 176648 201689 206042 256594 287053 345832 403378 412084 451261 513188 561977 574106 806756 824168 902522 1026376 1123954 1148212 1339273 1613512 1805044 2247908 2296424 2621957 2678546 3069259 3610088 4495816 5243914 5357092 5866393 6138518 10487828 10714184 11732786 12277036 14319919 20975656 23465572 24554072 28639838 32039531 39900367 46931144 57279676 62725279 64079062 79800734 114559352 125450558 128158124 159601468 186158947 250901116 256316248 319202936 372317894 416513903 501802232 744635788 815428627 833027806 1489271576 1630857254 1666055612 3261714508 3332111224 4453494809 6523429016 8906989618 17813979236 35627958472 57895432517 115790865034 231581730068 463163460136