Search a number
-
+
152576013312 = 2103353104123
BaseRepresentation
bin1000111000011000111…
…1010011010000000000
3112120211021200112211000
42032012033103100000
54444433424411222
6154031545252000
714010655500102
oct2160617232000
9476737615730
10152576013312
1159786200078
12256a1494000
13115071744a8
14755594b572
153e7ed229ac
hex23863d3400

152576013312 has 176 divisors, whose sum is σ = 460386348480. Its totient is φ = 49898594304.

The previous prime is 152576013299. The next prime is 152576013349. The reversal of 152576013312 is 213310675251.

152576013312 is a `hidden beast` number, since 1 + 5 + 2 + 5 + 7 + 601 + 33 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1413283 + ... + 1517405.

Almost surely, 2152576013312 is an apocalyptic number.

152576013312 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 152576013312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230193174240).

152576013312 is an abundant number, since it is smaller than the sum of its proper divisors (307810335168).

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

152576013312 is a wasteful number, since it uses less digits than its factorization.

152576013312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104205 (or 104181 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

Adding to 152576013312 its reverse (213310675251), we get a palindrome (365886688563).

The spelling of 152576013312 in words is "one hundred fifty-two billion, five hundred seventy-six million, thirteen thousand, three hundred twelve".