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464666875812 = 2232172365950093
BaseRepresentation
bin1101100001100000100…
…11011101011110100100
31122102101102201000211100
412300300103131132210
530103114210011222
6553244235440100
745366610163436
oct6606023353644
91572342630740
10464666875812
1116a078379317
127607bbb6030
1334a82bcc2b9
14186c07a0656
15c148bee4ac
hex6c304dd7a4

464666875812 has 144 divisors (see below), whose sum is σ = 1299734916480. Its totient is φ = 139225304064.

The previous prime is 464666875769. The next prime is 464666875847. The reversal of 464666875812 is 218578666464.

It is a happy number.

It is a super-3 number, since 3×4646668758123 (a number of 36 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 464666875812.

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 47 ways as a sum of consecutive naturals, for example, 9251038 + ... + 9301130.

It is an arithmetic number, because the mean of its divisors is an integer number (9025936920).

Almost surely, 2464666875812 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 464666875812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (649867458240).

464666875812 is an abundant number, since it is smaller than the sum of its proper divisors (835068040668).

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

464666875812 is a wasteful number, since it uses less digits than its factorization.

464666875812 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50802 (or 50797 counting only the distinct ones).

The product of its digits is 92897280, while the sum is 63.

The spelling of 464666875812 in words is "four hundred sixty-four billion, six hundred sixty-six million, eight hundred seventy-five thousand, eight hundred twelve".

Divisors: 1 2 3 4 6 9 12 17 18 23 34 36 46 51 68 69 92 102 138 153 204 207 276 306 391 414 612 659 782 828 1173 1318 1564 1977 2346 2636 3519 3954 4692 5931 7038 7908 11203 11862 14076 15157 22406 23724 30314 33609 44812 45471 50093 60628 67218 90942 100186 100827 134436 136413 150279 181884 200372 201654 257669 272826 300558 403308 450837 515338 545652 601116 773007 851581 901674 1030676 1152139 1546014 1703162 1803348 2304278 2319021 2554743 3092028 3406324 3456417 4608556 4638042 5109486 6912834 7664229 9276084 10218972 10369251 13825668 15328458 19586363 20738502 30656916 33011287 39172726 41477004 58759089 66022574 78345452 99033861 117518178 132045148 176277267 198067722 235036356 297101583 352554534 396135444 561191879 594203166 705109068 759259601 1122383758 1188406332 1518519202 1683575637 2244767516 2277778803 3037038404 3367151274 4555557606 5050726911 6734302548 6833336409 9111115212 10101453822 12907413217 13666672818 20202907644 25814826434 27333345636 38722239651 51629652868 77444479302 116166718953 154888958604 232333437906 464666875812