Search a number
-
+
469136821896 = 23341301556477
BaseRepresentation
bin1101101001110101011…
…10111100111010001000
31122211220221200211010000
412310322232330322020
530141243011300041
6555303554123000
745615435122301
oct6647256747210
91584827624100
10469136821896
11170a61561a36
1276b08b80460
1335315cb2402
14189c62c57a8
15c30b352bb6
hex6d3abbce88

469136821896 has 80 divisors (see below), whose sum is σ = 1315029856140. Its totient is φ = 156258460800.

The previous prime is 469136821873. The next prime is 469136821903. The reversal of 469136821896 is 698128631964.

469136821896 is a `hidden beast` number, since 4 + 6 + 91 + 368 + 2 + 189 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 464832149796 + 4304672100 = 681786^2 + 65610^2 .

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 564810 + ... + 1121286.

Almost surely, 2469136821896 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 469136821896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (657514928070).

469136821896 is an abundant number, since it is smaller than the sum of its proper divisors (845893034244).

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

469136821896 is a wasteful number, since it uses less digits than its factorization.

469136821896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 557796 (or 557783 counting only the distinct ones).

The product of its digits is 26873856, while the sum is 63.

The spelling of 469136821896 in words is "four hundred sixty-nine billion, one hundred thirty-six million, eight hundred twenty-one thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 1301 2602 3903 5204 7806 10408 11709 15612 23418 31224 35127 46836 70254 93672 105381 140508 210762 281016 421524 556477 843048 1112954 1669431 2225908 3338862 4451816 5008293 6677724 10016586 13355448 15024879 20033172 30049758 40066344 45074637 60099516 90149274 120199032 180298548 360597096 723976577 1447953154 2171929731 2895906308 4343859462 5791812616 6515789193 8687718924 13031578386 17375437848 19547367579 26063156772 39094735158 52126313544 58642102737 78189470316 117284205474 156378940632 234568410948 469136821896