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131919923136 = 2632337807383
BaseRepresentation
bin111101011011100001…
…0100100011111000000
3110121111201121110001010
41322313002210133000
54130133000020021
6140334141440520
712350045562621
oct1726702443700
9417451543033
10131919923136
1150a463a2871
1221697870140
13c594892821
14655647ba48
1536716a9976
hex1eb70a47c0

131919923136 has 112 divisors (see below), whose sum is σ = 374057777664. Its totient is φ = 40924578816.

The previous prime is 131919923123. The next prime is 131919923137. The reversal of 131919923136 is 631329919131.

It is a super-2 number, since 2×1319199231362 (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131919923137) 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, 240300 + ... + 567083.

Almost surely, 2131919923136 is an apocalyptic number.

131919923136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

131919923136 is an abundant number, since it is smaller than the sum of its proper divisors (242137854528).

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

131919923136 is a wasteful number, since it uses less digits than its factorization.

131919923136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 807458 (or 807448 counting only the distinct ones).

The product of its digits is 236196, while the sum is 48.

The spelling of 131919923136 in words is "one hundred thirty-one billion, nine hundred nineteen million, nine hundred twenty-three thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 37 46 48 64 69 74 92 96 111 138 148 184 192 222 276 296 368 444 552 592 736 851 888 1104 1184 1472 1702 1776 2208 2368 2553 3404 3552 4416 5106 6808 7104 10212 13616 20424 27232 40848 54464 81696 163392 807383 1614766 2422149 3229532 4844298 6459064 9688596 12918128 18569809 19377192 25836256 29873171 37139618 38754384 51672512 55709427 59746342 74279236 77508768 89619513 111418854 119492684 148558472 155017536 179239026 222837708 238985368 297116944 358478052 445675416 477970736 594233888 687082933 716956104 891350832 955941472 1188467776 1374165866 1433912208 1782701664 1911882944 2061248799 2748331732 2867824416 3565403328 4122497598 5496663464 5735648832 8244995196 10993326928 16489990392 21986653856 32979980784 43973307712 65959961568 131919923136