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131164374608 = 24234113166361
BaseRepresentation
bin111101000101000000…
…0011000011001010000
3110112120001220121022022
41322022000120121100
54122111034441413
6140131151431012
712322242534341
oct1721200303120
9415501817268
10131164374608
1150698962aa3
1221506825468
13c4a41a46a7
1464c3da40c8
15362a1b3608
hex1e8a018650

131164374608 has 80 divisors (see below), whose sum is σ = 273725730432. Its totient is φ = 60732672000.

The previous prime is 131164374571. The next prime is 131164374617. The reversal of 131164374608 is 806473461131.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1943348 + ... + 2009708.

Almost surely, 2131164374608 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 131164374608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136862865216).

131164374608 is an abundant number, since it is smaller than the sum of its proper divisors (142561355824).

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

131164374608 is a wasteful number, since it uses less digits than its factorization.

131164374608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66564 (or 66558 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 44.

The spelling of 131164374608 in words is "one hundred thirty-one billion, one hundred sixty-four million, three hundred seventy-four thousand, six hundred eight".

Divisors: 1 2 4 8 16 23 41 46 82 92 131 164 184 262 328 368 524 656 943 1048 1886 2096 3013 3772 5371 6026 7544 10742 12052 15088 21484 24104 42968 48208 66361 85936 123533 132722 247066 265444 494132 530888 988264 1061776 1526303 1976528 2720801 3052606 5441602 6105212 8693291 10883204 12210424 17386582 21766408 24420848 34773164 43532816 62578423 69546328 125156846 139092656 199945693 250313692 356424931 399891386 500627384 712849862 799782772 1001254768 1425699724 1599565544 2851399448 3199131088 5702798896 8197773413 16395546826 32791093652 65582187304 131164374608