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3707985425769 = 38237732
BaseRepresentation
bin110101111101010101001…
…001110111010101101001
3111010110221212202100000000
4311331111021313111221
5441222423232111034
611515231444133213
7531615223040232
oct65752511672551
914113855670000
103707985425769
1111aa6031189a9
124ba770997209
1320b87a4a9341
14cb678990089
15666be8b8599
hex35f55277569

3707985425769 has 27 divisors (see below), whose sum is σ = 5561929520823. Its totient is φ = 2471886300744.

The previous prime is 3707985425741. The next prime is 3707985425839. The reversal of 3707985425769 is 9675245897073.

The square root of 3707985425769 is 1925613.

It is a perfect power (a square), and thus also a powerful number.

3707985425769 is a `hidden beast` number, since 3 + 7 + 0 + 7 + 9 + 8 + 5 + 42 + 576 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 883609400025 + 2824376025744 = 940005^2 + 1680588^2 .

It is a tau number, because it is divible by the number of its divisors (27).

It is not a de Polignac number, because 3707985425769 - 211 = 3707985423721 is a prime.

It is a super-2 number, since 2×37079854257692 (a number of 26 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 3707985425697 and 3707985425706.

It is not an unprimeable number, because it can be changed into a prime (3707985425719) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 155962767 + ... + 155986539.

Almost surely, 23707985425769 is an apocalyptic number.

3707985425769 is the 1925613-rd square number.

3707985425769 is the 962807-th centered octagonal number.

It is an amenable number.

3707985425769 is a deficient number, since it is larger than the sum of its proper divisors (1853944095054).

3707985425769 is an frugal number, since it uses more digits than its factorization.

3707985425769 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47570 (or 23776 counting only the distinct ones).

The product of its (nonzero) digits is 800150400, while the sum is 72.

The spelling of 3707985425769 in words is "three trillion, seven hundred seven billion, nine hundred eighty-five million, four hundred twenty-five thousand, seven hundred sixty-nine".

Divisors: 1 3 9 27 81 243 729 2187 6561 23773 71319 213957 641871 1925613 5776839 17330517 51991551 155974653 565155529 1695466587 5086399761 15259199283 45777597849 137332793547 411998380641 1235995141923 3707985425769