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137382859544031 = 32151206383489823
BaseRepresentation
bin11111001111001011110000…
…100010101001010111011111
3200000102200011200202020212100
4133033023300202221113133
5121001340044020402111
61204104451524140143
740636404221332113
oct3717136042512737
9600380150666770
10137382859544031
113a85781a715682
12134a9875837653
135b871c03bb9ba
1425cd519d95743
1510d399b9c2756
hex7cf2f08a95df

137382859544031 has 24 divisors (see below), whose sum is σ = 199757468758016. Its totient is φ = 90981399603600.

The previous prime is 137382859544009. The next prime is 137382859544041. The reversal of 137382859544031 is 130445958283731.

137382859544031 is a `hidden beast` number, since 1 + 3 + 7 + 3 + 8 + 2 + 8 + 59 + 544 + 0 + 31 = 666.

It is not a de Polignac number, because 137382859544031 - 29 = 137382859543519 is a prime.

It is a super-2 number, since 2×1373828595440312 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 137382859544031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137382859544041) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 280229586 + ... + 280719408.

Almost surely, 2137382859544031 is an apocalyptic number.

137382859544031 is a deficient number, since it is larger than the sum of its proper divisors (62374609213985).

137382859544031 is a wasteful number, since it uses less digits than its factorization.

137382859544031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 696363 (or 696360 counting only the distinct ones).

The product of its (nonzero) digits is 87091200, while the sum is 63.

The spelling of 137382859544031 in words is "one hundred thirty-seven trillion, three hundred eighty-two billion, eight hundred fifty-nine million, five hundred forty-four thousand, thirty-one".

Divisors: 1 3 9 151 453 1359 206383 489823 619149 1469469 1857447 4408407 31163833 73963273 93491499 221889819 280474497 665669457 101091140209 303273420627 909820261881 15264762171559 45794286514677 137382859544031