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131158393392 = 24313240212
BaseRepresentation
bin111101000100110100…
…1100100001000110000
3110112112122122201121210
41322021221210020300
54122103022042032
6140130415320120
712322140643365
oct1721151441060
9415478581553
10131158393392
1150695548244
1221504820040
13c4a2b8c100
1464c328846c
1536298d12cc
hex1e89a64230

131158393392 has 90 divisors (see below), whose sum is σ = 366985530396. Its totient is φ = 40346392320.

The previous prime is 131158393363. The next prime is 131158393393. The reversal of 131158393392 is 293393851131.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (131158393393) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 32616342 + ... + 32620362.

Almost surely, 2131158393392 is an apocalyptic number.

131158393392 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131158393392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183492765198).

131158393392 is an abundant number, since it is smaller than the sum of its proper divisors (235827137004).

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

131158393392 is an frugal number, since it uses more digits than its factorization.

131158393392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8079 (or 4039 counting only the distinct ones).

The product of its digits is 524880, while the sum is 48.

Multiplying 131158393392 by its sum of digits (48), we get a square (6295602882816 = 25091042).

131158393392 divided by its sum of digits (48) gives a square (2732466529 = 522732).

The spelling of 131158393392 in words is "one hundred thirty-one billion, one hundred fifty-eight million, three hundred ninety-three thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 169 208 312 338 507 624 676 1014 1352 2028 2704 4021 4056 8042 8112 12063 16084 24126 32168 48252 52273 64336 96504 104546 156819 193008 209092 313638 418184 627276 679549 836368 1254552 1359098 2038647 2509104 2718196 4077294 5436392 8154588 10872784 16168441 16309176 32336882 32618352 48505323 64673764 97010646 129347528 194021292 210189733 258695056 388042584 420379466 630569199 776085168 840758932 1261138398 1681517864 2522276796 2732466529 3363035728 5044553592 5464933058 8197399587 10089107184 10929866116 16394799174 21859732232 32789598348 43719464464 65579196696 131158393392