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131481519392 = 2519477363029
BaseRepresentation
bin111101001110011101…
…0001100010100100000
3110120101011200020011102
41322130322030110200
54123233232110032
6140222441133532
712333143321606
oct1723472142440
9416334606142
10131481519392
1150840987623
1221594a8a2a8
13c524ac6122
14651415b876
153647e5c362
hex1e9ce8c520

131481519392 has 96 divisors (see below), whose sum is σ = 282092025600. Its totient is φ = 60119635968.

The previous prime is 131481519359. The next prime is 131481519409. The reversal of 131481519392 is 293915184131.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (47).

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, 2054534 + ... + 2117562.

It is an arithmetic number, because the mean of its divisors is an integer number (2938458600).

Almost surely, 2131481519392 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 131481519392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141046012800).

131481519392 is an abundant number, since it is smaller than the sum of its proper divisors (150610506208).

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

131481519392 is a wasteful number, since it uses less digits than its factorization.

131481519392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63178 (or 63170 counting only the distinct ones).

The product of its digits is 233280, while the sum is 47.

The spelling of 131481519392 in words is "one hundred thirty-one billion, four hundred eighty-one million, five hundred nineteen thousand, three hundred ninety-two".

Divisors: 1 2 4 8 16 19 32 38 47 73 76 94 146 152 188 292 304 376 584 608 752 893 1168 1387 1504 1786 2336 2774 3431 3572 5548 6862 7144 11096 13724 14288 22192 27448 28576 44384 54896 63029 65189 109792 126058 130378 252116 260756 504232 521512 1008464 1043024 1197551 2016928 2086048 2395102 2962363 4601117 4790204 5924726 9202234 9580408 11849452 18404468 19160816 23698904 36808936 38321632 47397808 56284897 73617872 87421223 94795616 112569794 147235744 174842446 216252499 225139588 349684892 432504998 450279176 699369784 865009996 900558352 1398739568 1730019992 1801116704 2797479136 3460039984 4108797481 6920079968 8217594962 16435189924 32870379848 65740759696 131481519392