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131561706276 = 2234711132271787
BaseRepresentation
bin111101010000110110…
…0000101001100100100
3110120120202120010220000
41322201230011030210
54123414244100101
6140234423541300
712335136023610
oct1724154051444
9416522503800
10131561706276
1150882176180
12215b78ba830
13c5385c05a0
146520a72340
15364eeeb486
hex1ea1b05324

131561706276 has 480 divisors, whose sum is σ = 464071652352. Its totient is φ = 31386735360.

The previous prime is 131561706271. The next prime is 131561706293. The reversal of 131561706276 is 672607165131.

131561706276 is a `hidden beast` number, since 1 + 3 + 1 + 5 + 6 + 17 + 0 + 627 + 6 = 666.

It is a super-3 number, since 3×1315617062763 (a number of 34 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (131561706271) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 73620655 + ... + 73622441.

Almost surely, 2131561706276 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 131561706276, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232035826176).

131561706276 is an abundant number, since it is smaller than the sum of its proper divisors (332509946076).

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

131561706276 is a wasteful number, since it uses less digits than its factorization.

131561706276 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2061 (or 2050 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The spelling of 131561706276 in words is "one hundred thirty-one billion, five hundred sixty-one million, seven hundred six thousand, two hundred seventy-six".