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131504541392 = 2477921170439
BaseRepresentation
bin111101001111001001…
…0000000111011010000
3110120102202222212102002
41322132102000323100
54123310130311032
6140225022413132
712333543105260
oct1723622007320
9416382885362
10131504541392
1150852981374
12215a07311a8
13c5297c6c03
1465172317a0
153649ea8862
hex1e9e480ed0

131504541392 has 80 divisors (see below), whose sum is σ = 296276275200. Its totient is φ = 55381173120.

The previous prime is 131504541347. The next prime is 131504541431. The reversal of 131504541392 is 293145405131.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1831709 + ... + 1902147.

It is an arithmetic number, because the mean of its divisors is an integer number (3703453440).

Almost surely, 2131504541392 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 131504541392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148138137600).

131504541392 is an abundant number, since it is smaller than the sum of its proper divisors (164771733808).

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

131504541392 is a wasteful number, since it uses less digits than its factorization.

131504541392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70744 (or 70738 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 38.

The spelling of 131504541392 in words is "one hundred thirty-one billion, five hundred four million, five hundred forty-one thousand, three hundred ninety-two".

Divisors: 1 2 4 7 8 14 16 28 56 79 112 158 211 316 422 553 632 844 1106 1264 1477 1688 2212 2954 3376 4424 5908 8848 11816 16669 23632 33338 66676 70439 116683 133352 140878 233366 266704 281756 466732 493073 563512 933464 986146 1127024 1866928 1972292 3944584 5564681 7889168 11129362 14862629 22258724 29725258 38952767 44517448 59450516 77905534 89034896 104038403 118901032 155811068 208076806 237802064 311622136 416153612 623244272 832307224 1174147691 1664614448 2348295382 4696590764 8219033837 9393181528 16438067674 18786363056 32876135348 65752270696 131504541392