Search a number
-
+
152162576676 = 22331137091493
BaseRepresentation
bin1000110110110110011…
…0001010100100100100
3112112202110201210101000
42031231212022210210
54443112104423201
6153522540033300
713664505363345
oct2155546124444
9475673653330
10152162576676
1159593898000
12255a6b32830
131146c60a026
147516a8a0cc
153e588a7d86
hex236d98a924

152162576676 has 192 divisors, whose sum is σ = 434818540800. Its totient is φ = 46013996160.

The previous prime is 152162576653. The next prime is 152162576729. The reversal of 152162576676 is 676675261251.

It is a happy number.

152162576676 is a `hidden beast` number, since 1 + 5 + 2 + 1 + 6 + 2 + 576 + 67 + 6 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 101916586 + ... + 101918078.

It is an arithmetic number, because the mean of its divisors is an integer number (2264679900).

Almost surely, 2152162576676 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 152162576676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217409270400).

152162576676 is an abundant number, since it is smaller than the sum of its proper divisors (282655964124).

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

152162576676 is a wasteful number, since it uses less digits than its factorization.

152162576676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2248 (or 2218 counting only the distinct ones).

The product of its digits is 6350400, while the sum is 54.

The spelling of 152162576676 in words is "one hundred fifty-two billion, one hundred sixty-two million, five hundred seventy-six thousand, six hundred seventy-six".