Search a number
-
+
930381131232 = 25337874117599
BaseRepresentation
bin11011000100111110000…
…10010110110111100000
310021221110212020110101000
431202133002112313200
5110220410032144412
61551224452312000
7124134466063110
oct15423702266740
93257425213330
10930381131232
11329632991413
12130392912600
1369971ab7237
14330602c3040
151930483d4dc
hexd89f096de0

930381131232 has 192 divisors, whose sum is σ = 3101801472000. Its totient is φ = 265777666560.

The previous prime is 930381131231. The next prime is 930381131249. The reversal of 930381131232 is 232131183039.

It is a happy number.

930381131232 is a `hidden beast` number, since 9 + 30 + 381 + 13 + 1 + 232 = 666.

930381131232 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (930381131231) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52856769 + ... + 52874367.

It is an arithmetic number, because the mean of its divisors is an integer number (16155216000).

Almost surely, 2930381131232 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 930381131232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1550900736000).

930381131232 is an abundant number, since it is smaller than the sum of its proper divisors (2171420340768).

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

930381131232 is a wasteful number, since it uses less digits than its factorization.

930381131232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26366 (or 26352 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The spelling of 930381131232 in words is "nine hundred thirty billion, three hundred eighty-one million, one hundred thirty-one thousand, two hundred thirty-two".