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137410436781 = 32109140071801
BaseRepresentation
bin111111111111001001…
…1001101111010101101
3111010200100222102211100
41333332103031322231
54222404032434111
6143043034313313
712633105304212
oct1777623157255
9433610872740
10137410436781
1153303677a52
122276a588839
13cc5b234677
146917745b09
153893703756
hex1ffe4cdead

137410436781 has 12 divisors (see below), whose sum is σ = 200302676860. Its totient is φ = 90766526400.

The previous prime is 137410436759. The next prime is 137410436827. The reversal of 137410436781 is 187634014731.

137410436781 is a `hidden beast` number, since 137 + 4 + 1 + 0 + 436 + 7 + 81 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 50483349225 + 86927087556 = 224685^2 + 294834^2 .

It is not a de Polignac number, because 137410436781 - 217 = 137410305709 is a prime.

It is a super-2 number, since 2×1374104367812 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137410436741) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 70034920 + ... + 70036881.

Almost surely, 2137410436781 is an apocalyptic number.

It is an amenable number.

137410436781 is a deficient number, since it is larger than the sum of its proper divisors (62892240079).

137410436781 is a wasteful number, since it uses less digits than its factorization.

137410436781 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140071916 (or 140071913 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 137410436781 in words is "one hundred thirty-seven billion, four hundred ten million, four hundred thirty-six thousand, seven hundred eighty-one".

Divisors: 1 3 9 109 327 981 140071801 420215403 1260646209 15267826309 45803478927 137410436781