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30852197376 = 21037111379127
BaseRepresentation
bin11100101110111011…
…110010110000000000
32221122010212000101220
4130232323302300000
51001141130304001
622101233355040
72141355231210
oct345673626000
987563760356
1030852197376
11120a2296590
125b90408a80
132ba8ac25c0
1416c96c0240
15c08861c36
hex72eef2c00

30852197376 has 704 divisors, whose sum is σ = 112687841280. Its totient is φ = 7245987840.

The previous prime is 30852197303. The next prime is 30852197407. The reversal of 30852197376 is 67379125803.

It is a tau number, because it is divible by the number of its divisors (704).

It is a super-2 number, since 2×308521973762 (a number of 22 digits) contains 22 as substring.

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, 242930625 + ... + 242930751.

Almost surely, 230852197376 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 30852197376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56343920640).

30852197376 is an abundant number, since it is smaller than the sum of its proper divisors (81835643904).

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

30852197376 is a wasteful number, since it uses less digits than its factorization.

30852197376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 51.

The spelling of 30852197376 in words is "thirty billion, eight hundred fifty-two million, one hundred ninety-seven thousand, three hundred seventy-six".