Search a number
-
+
37295082272 = 257248772
BaseRepresentation
bin100010101110111101…
…011100101100100000
310120021011021110221102
4202232331130230200
51102340020113042
625044431013532
72460130653200
oct425675345440
9116234243842
1037295082272
11148a9113348
12728a06a2a8
133694866626
141b3b258400
15e842ceb32
hex8aef5cb20

37295082272 has 54 divisors (see below), whose sum is σ = 85429915137. Its totient is φ = 15980329344.

The previous prime is 37295082229. The next prime is 37295082281. The reversal of 37295082272 is 27228059273.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

37295082272 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 2 ways, for example, as 35330465296 + 1964616976 = 187964^2 + 44324^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=136556.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 7644698 + ... + 7649574.

Almost surely, 237295082272 is an apocalyptic number.

37295082272 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

37295082272 is an abundant number, since it is smaller than the sum of its proper divisors (48134832865).

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

37295082272 is an frugal number, since it uses more digits than its factorization.

37295082272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9778 (or 4886 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 47.

The spelling of 37295082272 in words is "thirty-seven billion, two hundred ninety-five million, eighty-two thousand, two hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 196 224 392 784 1568 4877 9754 19508 34139 39016 68278 78032 136556 156064 238973 273112 477946 546224 955892 1092448 1911784 3823568 7647136 23785129 47570258 95140516 166495903 190281032 332991806 380562064 665983612 761124128 1165471321 1331967224 2330942642 2663934448 4661885284 5327868896 9323770568 18647541136 37295082272