Search a number
-
+
137525536962 = 23311231524473
BaseRepresentation
bin1000000000010100101…
…0010010100011000010
3111010222101120010121000
42000011022102203002
54223123014140322
6143102305312430
712636003530232
oct2000512224302
9433871503530
10137525536962
1153362642470
12227a1035716
13cc79034298
146928b47cc2
15389d88c3ac
hex20052928c2

137525536962 has 32 divisors (see below), whose sum is σ = 333395242560. Its totient is φ = 41674404960.

The previous prime is 137525536937. The next prime is 137525536999. The reversal of 137525536962 is 269635525731.

137525536962 is a `hidden beast` number, since 1 + 3 + 7 + 525 + 53 + 6 + 9 + 62 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 137525536899 and 137525536908.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 115761643 + ... + 115762830.

It is an arithmetic number, because the mean of its divisors is an integer number (10418601330).

Almost surely, 2137525536962 is an apocalyptic number.

137525536962 is an abundant number, since it is smaller than the sum of its proper divisors (195869705598).

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

137525536962 is a wasteful number, since it uses less digits than its factorization.

137525536962 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231524495 (or 231524489 counting only the distinct ones).

The product of its digits is 10206000, while the sum is 54.

The spelling of 137525536962 in words is "one hundred thirty-seven billion, five hundred twenty-five million, five hundred thirty-six thousand, nine hundred sixty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 198 297 594 231524473 463048946 694573419 1389146838 2083720257 2546769203 4167440514 5093538406 6251160771 7640307609 12502321542 15280615218 22920922827 45841845654 68762768481 137525536962