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180831649856 = 26111337534019
BaseRepresentation
bin1010100001101001101…
…0000000000001000000
3122021202110122121101012
42220122122000001000
510430320400243411
6215023425500052
716031114443154
oct2503232000100
9567673577335
10180831649856
116a765830010
122b0681a1628
131408b029360
148a76443064
154a8573318b
hex2a1a680040

180831649856 has 112 divisors (see below), whose sum is σ = 432966327360. Its totient is φ = 73822648320.

The previous prime is 180831649853. The next prime is 180831649871. The reversal of 180831649856 is 658946138081.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 180831649795 and 180831649804.

It is not an unprimeable number, because it can be changed into a prime (180831649853) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71615 + ... + 605633.

It is an arithmetic number, because the mean of its divisors is an integer number (3865770780).

Almost surely, 2180831649856 is an apocalyptic number.

180831649856 is a gapful number since it is divisible by the number (16) 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 180831649856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216483163680).

180831649856 is an abundant number, since it is smaller than the sum of its proper divisors (252134677504).

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

180831649856 is a wasteful number, since it uses less digits than its factorization.

180831649856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 534092 (or 534082 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 59.

The spelling of 180831649856 in words is "one hundred eighty billion, eight hundred thirty-one million, six hundred forty-nine thousand, eight hundred fifty-six".

Divisors: 1 2 4 8 11 13 16 22 26 32 37 44 52 64 74 88 104 143 148 176 208 286 296 352 407 416 481 572 592 704 814 832 962 1144 1184 1628 1924 2288 2368 3256 3848 4576 5291 6512 7696 9152 10582 13024 15392 21164 26048 30784 42328 84656 169312 338624 534019 1068038 2136076 4272152 5874209 6942247 8544304 11748418 13884494 17088608 19758703 23496836 27768988 34177216 39517406 46993672 55537976 76364717 79034812 93987344 111075952 152729434 158069624 187974688 217345733 222151904 256863139 305458868 316139248 375949376 434691466 444303808 513726278 610917736 632278496 869382932 1027452556 1221835472 1264556992 1738765864 2054905112 2443670944 2825494529 3477531728 4109810224 4887341888 5650989058 6955063456 8219620448 11301978116 13910126912 16439240896 22603956232 45207912464 90415824928 180831649856