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3735068125 = 54613132
BaseRepresentation
bin1101111010100000…
…1001110111011101
3100122022012010020111
43132220021313131
530122134140000
61414343250021
7161362361305
oct33650116735
910568163214
103735068125
111647391a68
12882a49911
13476a816a9
142760ac605
1516cd91cba
hexdea09ddd

3735068125 has 30 divisors (see below), whose sum is σ = 4759059426. Its totient is φ = 2929680000.

The previous prime is 3735068111. The next prime is 3735068167. The reversal of 3735068125 is 5218605373.

It can be written as a sum of positive squares in 15 ways, for example, as 1448411364 + 2286656761 = 38058^2 + 47819^2 .

It is not a de Polignac number, because 3735068125 - 25 = 3735068093 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 11932969 + ... + 11933281.

Almost surely, 23735068125 is an apocalyptic number.

It is an amenable number.

3735068125 is a deficient number, since it is larger than the sum of its proper divisors (1023991301).

3735068125 is an frugal number, since it uses more digits than its factorization.

3735068125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 707 (or 379 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 40.

The square root of 3735068125 is about 61115.2037139696. The cubic root of 3735068125 is about 1551.5514296251.

The spelling of 3735068125 in words is "three billion, seven hundred thirty-five million, sixty-eight thousand, one hundred twenty-five".

Divisors: 1 5 25 61 125 305 313 625 1525 1565 7625 7825 19093 38125 39125 95465 97969 195625 477325 489845 2386625 2449225 5976109 11933125 12246125 29880545 61230625 149402725 747013625 3735068125