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113553532432512 = 2732107899136229
BaseRepresentation
bin11001110100011010111101…
…111101101011000010000000
3112220001121111220202002212100
4121310122331331223002000
5104340430113300320022
61041301434520230400
732626654251025164
oct3164327575530200
9486047456662770
10113553532432512
11331aa8677a6227
121089b52830b400
134b4908a7a26a3
14200803d98cca4
15d1dbc45e61ac
hex6746bdf6b080

113553532432512 has 96 divisors (see below), whose sum is σ = 326792440435500. Its totient is φ = 37847665022976.

The previous prime is 113553532432511. The next prime is 113553532432523. The reversal of 113553532432512 is 215234235355311.

It is a happy number.

113553532432512 is a `hidden beast` number, since 1 + 1 + 3 + 5 + 5 + 353 + 2 + 43 + 251 + 2 = 666.

113553532432512 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 107063388956736 + 6490143475776 = 10347144^2 + 2547576^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (113553532432511) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7860814 + ... + 16997042.

Almost surely, 2113553532432512 is an apocalyptic number.

113553532432512 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

113553532432512 is an abundant number, since it is smaller than the sum of its proper divisors (213238908002988).

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

113553532432512 is a wasteful number, since it uses less digits than its factorization.

113553532432512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9147038 (or 9147023 counting only the distinct ones).

The product of its digits is 1620000, while the sum is 45.

Adding to 113553532432512 its reverse (215234235355311), we get a palindrome (328787767787823).

The spelling of 113553532432512 in words is "one hundred thirteen trillion, five hundred fifty-three billion, five hundred thirty-two million, four hundred thirty-two thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 10789 21578 32367 43156 64734 86312 97101 129468 172624 194202 258936 345248 388404 517872 690496 776808 1035744 1380992 1553616 2071488 3107232 4142976 6214464 9136229 12428928 18272458 27408687 36544916 54817374 73089832 82226061 109634748 146179664 164452122 219269496 292359328 328904244 438538992 584718656 657808488 877077984 1169437312 1315616976 1754155968 2631233952 3508311936 5262467904 10524935808 98570774681 197141549362 295712324043 394283098724 591424648086 788566197448 887136972129 1182849296172 1577132394896 1774273944258 2365698592344 3154264789792 3548547888516 4731397184688 6308529579584 7097095777032 9462794369376 12617059159168 14194191554064 18925588738752 28388383108128 37851177477504 56776766216256 113553532432512