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23260133106232 = 23111719778924961
BaseRepresentation
bin1010100100111101010111…
…11110001010001000111000
310001100122110200001202202221
411102132223332022020320
511022043223033344412
6121245320240533424
74620326532136351
oct522365376121070
9101318420052687
1023260133106232
117458626825720
122737b77621274
13cc9562325569
145a5b21656d28
152a50b1ce5b07
hex1527abf8a238

23260133106232 has 64 divisors (see below), whose sum is σ = 50631941622240. Its totient is φ = 9900346982400.

The previous prime is 23260133106227. The next prime is 23260133106241.

23260133106232 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39167769 + ... + 39757192.

Almost surely, 223260133106232 is an apocalyptic number.

23260133106232 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

23260133106232 is an abundant number, since it is smaller than the sum of its proper divisors (27371808516008).

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

23260133106232 is a wasteful number, since it uses less digits than its factorization.

23260133106232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78925192 (or 78925188 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 34.

The spelling of 23260133106232 in words is "twenty-three trillion, two hundred sixty billion, one hundred thirty-three million, one hundred six thousand, two hundred thirty-two".

Divisors: 1 2 4 8 11 17 22 34 44 68 88 136 187 197 374 394 748 788 1496 1576 2167 3349 4334 6698 8668 13396 17336 26792 36839 73678 147356 294712 78924961 157849922 315699844 631399688 868174571 1341724337 1736349142 2683448674 3472698284 5366897348 6945396568 10733794696 14758967707 15548217317 29517935414 31096434634 59035870828 62192869268 118071741656 124385738536 171030390487 264319694389 342060780974 528639388778 684121561948 1057278777556 1368243123896 2114557555112 2907516638279 5815033276558 11630066553116 23260133106232