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3735670386852 = 22361281094097
BaseRepresentation
bin110110010111000111010…
…011100111000010100100
3111020010102021220002000000
4312113013103213002210
5442201123104334402
611540050541021300
7533615252240415
oct66270723470244
914203367802000
103735670386852
11121031a5a9a28
12503bb8554830
13211370062011
14ccb4377380c
156729014ec1c
hex365c74e70a4

3735670386852 has 42 divisors (see below), whose sum is σ = 9801650943798. Its totient is φ = 1245223461312.

The previous prime is 3735670386803. The next prime is 3735670386859. The reversal of 3735670386852 is 2586830765373.

It is a happy number.

3735670386852 is a `hidden beast` number, since 3 + 7 + 3 + 567 + 0 + 3 + 8 + 68 + 5 + 2 = 666.

3735670386852 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 3510317005056 + 225353381796 = 1873584^2 + 474714^2 .

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 3735670386852.

It is not an unprimeable number, because it can be changed into a prime (3735670386859) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 640544133 + ... + 640549964.

It is an arithmetic number, because the mean of its divisors is an integer number (233372641519).

Almost surely, 23735670386852 is an apocalyptic number.

It is an amenable number.

3735670386852 is an abundant number, since it is smaller than the sum of its proper divisors (6065980556946).

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

3735670386852 is a wasteful number, since it uses less digits than its factorization.

3735670386852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1281094119 (or 1281094102 counting only the distinct ones).

The product of its (nonzero) digits is 152409600, while the sum is 63.

The spelling of 3735670386852 in words is "three trillion, seven hundred thirty-five billion, six hundred seventy million, three hundred eighty-six thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 729 972 1458 2916 1281094097 2562188194 3843282291 5124376388 7686564582 11529846873 15373129164 23059693746 34589540619 46119387492 69179081238 103768621857 138358162476 207537243714 311305865571 415074487428 622611731142 933917596713 1245223462284 1867835193426 3735670386852