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30846213936 = 243519221977
BaseRepresentation
bin11100101110100100…
…111101111100110000
32221121201121000200000
4130232210331330300
51001133112321221
622100501230000
72141253330606
oct345644757460
987551530600
1030846213936
111209997a09a
125b8a402300
132ba77a8cc5
1416c89a3876
15c0807de26
hex72e93df30

30846213936 has 180 divisors, whose sum is σ = 94487905512. Its totient is φ = 9740466432.

The previous prime is 30846213913. The next prime is 30846213971. The reversal of 30846213936 is 63931264803.

30846213936 is a `hidden beast` number, since 308 + 46 + 213 + 93 + 6 = 666.

It is a super-2 number, since 2×308462139362 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 30846213891 and 30846213900.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1392580 + ... + 1414556.

Almost surely, 230846213936 is an apocalyptic number.

30846213936 is a gapful number since it is divisible by the number (36) 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 30846213936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47243952756).

30846213936 is an abundant number, since it is smaller than the sum of its proper divisors (63641691576).

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

30846213936 is a wasteful number, since it uses less digits than its factorization.

30846213936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22038 (or 22001 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The spelling of 30846213936 in words is "thirty billion, eight hundred forty-six million, two hundred thirteen thousand, nine hundred thirty-six".