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131325467984 = 2419798961441
BaseRepresentation
bin111101001001110011…
…0111001110101010000
3110112222022000222212122
41322103212321311100
54122423304433414
6140155144313412
712326240026334
oct1722346716520
9415868028778
10131325467984
1150770891917
1221550772868
13c4cb688a09
1464db5397c4
1536393d4b8e
hex1e939b9d50

131325467984 has 80 divisors (see below), whose sum is σ = 274277088000. Its totient is φ = 60728279040.

The previous prime is 131325467983. The next prime is 131325468017. The reversal of 131325467984 is 489764523131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131325467983) 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, 2106704 + ... + 2168144.

It is an arithmetic number, because the mean of its divisors is an integer number (3428463600).

Almost surely, 2131325467984 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 131325467984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137138544000).

131325467984 is an abundant number, since it is smaller than the sum of its proper divisors (142951620016).

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

131325467984 is a wasteful number, since it uses less digits than its factorization.

131325467984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61636 (or 61630 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 53.

The spelling of 131325467984 in words is "one hundred thirty-one billion, three hundred twenty-five million, four hundred sixty-seven thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 16 19 38 76 79 89 152 158 178 304 316 356 632 712 1264 1424 1501 1691 3002 3382 6004 6764 7031 12008 13528 14062 24016 27056 28124 56248 61441 112496 122882 133589 245764 267178 491528 534356 983056 1068712 1167379 2137424 2334758 4669516 4853839 5468249 9339032 9707678 10936498 18678064 19415356 21872996 38830712 43745992 77661424 87491984 92222941 103896731 184445882 207793462 368891764 415586924 431991671 737783528 831173848 863983342 1475567056 1662347696 1727966684 3455933368 6911866736 8207841749 16415683498 32831366996 65662733992 131325467984