Search a number
-
+
137532650472 = 23327319790749
BaseRepresentation
bin1000000000010110010…
…1011011001111101000
3111010222212221112111100
42000011211123033220
54223131324303342
6143103122001400
712636121145310
oct2000545331750
9433885845440
10137532650472
11533666609a8
12227a34a6260
13cc7a655069
146929a7a440
15389e2e4e4c
hex200595b3e8

137532650472 has 192 divisors, whose sum is σ = 443963520000. Its totient is φ = 37635010560.

The previous prime is 137532650471. The next prime is 137532650483. The reversal of 137532650472 is 274056235731.

137532650472 is a `hidden beast` number, since 1 + 3 + 7 + 53 + 26 + 504 + 72 = 666.

It is not an unprimeable number, because it can be changed into a prime (137532650471) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1470154 + ... + 1560902.

It is an arithmetic number, because the mean of its divisors is an integer number (2312310000).

Almost surely, 2137532650472 is an apocalyptic number.

137532650472 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137532650472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221981760000).

137532650472 is an abundant number, since it is smaller than the sum of its proper divisors (306430869528).

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

137532650472 is a wasteful number, since it uses less digits than its factorization.

137532650472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90896 (or 90889 counting only the distinct ones).

The product of its (nonzero) digits is 1058400, while the sum is 45.

The spelling of 137532650472 in words is "one hundred thirty-seven billion, five hundred thirty-two million, six hundred fifty thousand, four hundred seventy-two".