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131926355820 = 223257157666901
BaseRepresentation
bin111101011011101101…
…1000110111101101100
3110121112011201021000200
41322313123012331230
54130141121341240
6140334531353500
712350154344040
oct1726733067554
9417464637020
10131926355820
1150a49a96836
1221699a52890
13c59600574c
146557274020
15367202a930
hex1eb76c6f6c

131926355820 has 144 divisors (see below), whose sum is σ = 460258413888. Its totient is φ = 29962483200.

The previous prime is 131926355789. The next prime is 131926355851. The reversal of 131926355820 is 28553629131.

131926355820 is a `hidden beast` number, since 1 + 3 + 1 + 9 + 2 + 63 + 5 + 582 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (131926355789) and next prime (131926355851).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 135631 + ... + 531270.

Almost surely, 2131926355820 is an apocalyptic number.

131926355820 is a gapful number since it is divisible by the number (10) 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 131926355820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230129206944).

131926355820 is an abundant number, since it is smaller than the sum of its proper divisors (328332058068).

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

131926355820 is a wasteful number, since it uses less digits than its factorization.

131926355820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 667080 (or 667075 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 131926355820 in words is "one hundred thirty-one billion, nine hundred twenty-six million, three hundred fifty-five thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 157 180 210 252 314 315 420 471 628 630 785 942 1099 1260 1413 1570 1884 2198 2355 2826 3140 3297 4396 4710 5495 5652 6594 7065 9420 9891 10990 13188 14130 16485 19782 21980 28260 32970 39564 49455 65940 98910 197820 666901 1333802 2000703 2667604 3334505 4001406 4668307 6002109 6669010 8002812 9336614 10003515 12004218 13338020 14004921 18673228 20007030 23341535 24008436 28009842 30010545 40014060 42014763 46683070 56019684 60021090 70024605 84029526 93366140 104703457 120042180 140049210 168059052 209406914 210073815 280098420 314110371 418813828 420147630 523517285 628220742 732924199 840295260 942331113 1047034570 1256441484 1465848398 1570551855 1884662226 2094069140 2198772597 2931696796 3141103710 3664620995 3769324452 4397545194 4711655565 6282207420 6596317791 7329241990 8795090388 9423311130 10993862985 13192635582 14658483980 18846622260 21987725970 26385271164 32981588955 43975451940 65963177910 131926355820