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10131555896 = 23711195316333
BaseRepresentation
bin10010110111110001…
…10100011000111000
3222011002022100212222
421123320310120320
5131222134242041
64353202223212
7506032542560
oct113370643070
928132270788
1010131555896
114329aa99a0
121b69054b08
13c5602c1b7
146c1809da0
153e46e774b
hex25be34638

10131555896 has 128 divisors (see below), whose sum is σ = 25402636800. Its totient is φ = 3668820480.

The previous prime is 10131555887. The next prime is 10131555899. The reversal of 10131555896 is 69855513101.

10131555896 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10131555899) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 612146 + ... + 628478.

It is an arithmetic number, because the mean of its divisors is an integer number (198458100).

Almost surely, 210131555896 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 10131555896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12701318400).

10131555896 is an abundant number, since it is smaller than the sum of its proper divisors (15271080904).

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

10131555896 is a wasteful number, since it uses less digits than its factorization.

10131555896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16429 (or 16425 counting only the distinct ones).

The product of its (nonzero) digits is 162000, while the sum is 44.

The spelling of 10131555896 in words is "ten billion, one hundred thirty-one million, five hundred fifty-five thousand, eight hundred ninety-six".

Divisors: 1 2 4 7 8 11 14 19 22 28 38 44 53 56 76 77 88 106 133 152 154 209 212 266 308 371 418 424 532 583 616 742 836 1007 1064 1166 1463 1484 1672 2014 2332 2926 2968 4028 4081 4664 5852 7049 8056 8162 11077 11704 14098 16324 16333 22154 28196 32648 32666 44308 56392 65332 77539 88616 114331 130664 155078 179663 228662 310156 310327 359326 457324 620312 620654 718652 865649 914648 1241308 1257641 1437304 1731298 2172289 2482616 2515282 3413597 3462596 4344578 5030564 6059543 6827194 6925192 8689156 9522139 10061128 12119086 13654388 16447331 17378312 19044278 23895179 24238172 27308776 32894662 38088556 47790358 48476344 65789324 66654973 76177112 95580716 115131317 131578648 133309946 180920641 191161432 230262634 266619892 361841282 460525268 533239784 723682564 921050536 1266444487 1447365128 2532888974 5065777948 10131555896