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131897472528 = 24361173260387
BaseRepresentation
bin111101011010110110…
…0111011011000010000
3110121110011100211121010
41322311230323120100
54130111223110103
6140332020330520
712346354006143
oct1726554733020
9417404324533
10131897472528
1150a34759348
1221690243a40
13c590031b43
1465534b605a
15366e722903
hex1eb5b3b610

131897472528 has 80 divisors (see below), whose sum is σ = 348324152256. Its totient is φ = 42994936320.

The previous prime is 131897472523. The next prime is 131897472529. The reversal of 131897472528 is 825274798131.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (131897472523) 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, 376351 + ... + 636737.

Almost surely, 2131897472528 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 131897472528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174162076128).

131897472528 is an abundant number, since it is smaller than the sum of its proper divisors (216426679728).

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

131897472528 is a wasteful number, since it uses less digits than its factorization.

131897472528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260632 (or 260626 counting only the distinct ones).

The product of its digits is 6773760, while the sum is 57.

The spelling of 131897472528 in words is "one hundred thirty-one billion, eight hundred ninety-seven million, four hundred seventy-two thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 61 122 173 183 244 346 366 488 519 692 732 976 1038 1384 1464 2076 2768 2928 4152 8304 10553 21106 31659 42212 63318 84424 126636 168848 253272 260387 506544 520774 781161 1041548 1562322 2083096 3124644 4166192 6249288 12498576 15883607 31767214 45046951 47650821 63534428 90093902 95301642 127068856 135140853 180187804 190603284 254137712 270281706 360375608 381206568 540563412 720751216 762413136 1081126824 2162253648 2747864011 5495728022 8243592033 10991456044 16487184066 21982912088 32974368132 43965824176 65948736264 131897472528