Search a number
-
+
37076912672 = 25340392
BaseRepresentation
bin100010100001111101…
…001100101000100000
310112200221202022111212
4202201331030220200
51101413142201142
625011034525252
72451541362212
oct424175145040
9115627668455
1037076912672
11147a6a50298
127228b96828
13365b5ba0a7
141b1a2a65b2
15e70086d82
hex8a1f4ca20

37076912672 has 18 divisors (see below), whose sum is σ = 72997316343. Its totient is φ = 18537911712.

The previous prime is 37076912651. The next prime is 37076912687. The reversal of 37076912672 is 27621967073.

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.

It can be written as a sum of positive squares in only one way, i.e., 18538456336 + 18538456336 = 136156^2 + 136156^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=136156.

It is a super-2 number, since 2×370769126722 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 37076912672.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 1072229 + ... + 1106267.

Almost surely, 237076912672 is an apocalyptic number.

37076912672 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

37076912672 is a deficient number, since it is larger than the sum of its proper divisors (35920403671).

37076912672 is an frugal number, since it uses more digits than its factorization.

37076912672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68088 (or 34041 counting only the distinct ones).

The product of its (nonzero) digits is 1333584, while the sum is 50.

Multiplying 37076912672 by its sum of digits (50), we get a square (1853845633600 = 13615602).

The spelling of 37076912672 in words is "thirty-seven billion, seventy-six million, nine hundred twelve thousand, six hundred seventy-two".

Divisors: 1 2 4 8 16 32 34039 68078 136156 272312 544624 1089248 1158653521 2317307042 4634614084 9269228168 18538456336 37076912672