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131960503998 = 23341181329297
BaseRepresentation
bin111101011100101110…
…1010111111010111110
3110121121112222011112000
41322321131113322332
54130223342111443
6140342151323130
712351050530311
oct1727135277276
9417545864460
10131960503998
1150a6729a874
12216a93804a6
13c5a010087b
14655ba02978
1536750238d3
hex1eb9757ebe

131960503998 has 64 divisors (see below), whose sum is σ = 302058469440. Its totient is φ = 42676761600.

The previous prime is 131960503967. The next prime is 131960504017. The reversal of 131960503998 is 899305069131.

131960503998 is a `hidden beast` number, since 13 + 19 + 605 + 0 + 3 + 9 + 9 + 8 = 666.

It is a super-3 number, since 3×1319605039983 (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 236086 + ... + 565382.

It is an arithmetic number, because the mean of its divisors is an integer number (4719663585).

Almost surely, 2131960503998 is an apocalyptic number.

131960503998 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 131960503998, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151029234720).

131960503998 is an abundant number, since it is smaller than the sum of its proper divisors (170097965442).

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

131960503998 is a wasteful number, since it uses less digits than its factorization.

131960503998 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329530 (or 329524 counting only the distinct ones).

The product of its (nonzero) digits is 1574640, while the sum is 54.

The spelling of 131960503998 in words is "one hundred thirty-one billion, nine hundred sixty million, five hundred three thousand, nine hundred ninety-eight".

Divisors: 1 2 3 6 9 18 27 41 54 82 123 181 246 362 369 543 738 1086 1107 1629 2214 3258 4887 7421 9774 14842 22263 44526 66789 133578 200367 329297 400734 658594 987891 1975782 2963673 5927346 8891019 13501177 17782038 27002354 40503531 59602757 81007062 119205514 121510593 178808271 243021186 357616542 364531779 536424813 729063558 1072849626 1609274439 2443713037 3218548878 4887426074 7331139111 14662278222 21993417333 43986834666 65980251999 131960503998