Search a number
-
+
30656272992 = 25317311374423
BaseRepresentation
bin11100100011010000…
…011001101001100000
32221010111012000200020
4130203100121221200
51000241001213432
622025554153440
72133456010122
oct344320315140
987114160606
1030656272992
1112001737704
125b36882880
132b77334407
1416ab67d212
15be656022c
hex723419a60

30656272992 has 192 divisors, whose sum is σ = 88617037824. Its totient is φ = 9237381120.

The previous prime is 30656272991. The next prime is 30656273099. The reversal of 30656272992 is 29927265603.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30656272991) 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, 6928893 + ... + 6933315.

It is an arithmetic number, because the mean of its divisors is an integer number (461547072).

Almost surely, 230656272992 is an apocalyptic number.

30656272992 is a gapful number since it is divisible by the number (32) 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 30656272992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44308518912).

30656272992 is an abundant number, since it is smaller than the sum of its proper divisors (57960764832).

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

30656272992 is a wasteful number, since it uses less digits than its factorization.

30656272992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4621 (or 4613 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 51.

The spelling of 30656272992 in words is "thirty billion, six hundred fifty-six million, two hundred seventy-two thousand, nine hundred ninety-two".