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35681345037 = 3213304968761
BaseRepresentation
bin100001001110110001…
…100001111000001101
310102002200202010121200
4201032301201320031
51041033411020122
624220343020113
72402134300002
oct411661417015
9112080663550
1035681345037
1114150209708
126ab973a639
133498430c20
141a26bc98a9
15ddc7ba5ac
hex84ec61e0d

35681345037 has 12 divisors (see below), whose sum is σ = 55504314684. Its totient is φ = 21957750720.

The previous prime is 35681345027. The next prime is 35681345041. The reversal of 35681345037 is 73054318653.

35681345037 is a `hidden beast` number, since 3 + 5 + 6 + 8 + 134 + 503 + 7 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 15171095241 + 20510249796 = 123171^2 + 143214^2 .

It is not a de Polignac number, because 35681345037 - 26 = 35681344973 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 35681344983 and 35681345001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35681345027) 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, 152484264 + ... + 152484497.

It is an arithmetic number, because the mean of its divisors is an integer number (4625359557).

Almost surely, 235681345037 is an apocalyptic number.

It is an amenable number.

35681345037 is a deficient number, since it is larger than the sum of its proper divisors (19822969647).

35681345037 is a wasteful number, since it uses less digits than its factorization.

35681345037 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304968780 (or 304968777 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 35681345037 in words is "thirty-five billion, six hundred eighty-one million, three hundred forty-five thousand, thirty-seven".

Divisors: 1 3 9 13 39 117 304968761 914906283 2744718849 3964593893 11893781679 35681345037