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30997703520 = 253257192331227
BaseRepresentation
bin11100110111100110…
…110110101101100000
32222000021122111022100
4130313212312231200
51001440403003040
622123512210400
72145103063320
oct346746665540
988007574270
1030997703520
11121674394a3
126011099a00
132bccca9c04
141700b59280
15c16504b30
hex7379b6b60

30997703520 has 1152 divisors, whose sum is σ = 137673768960. Its totient is φ = 6185963520.

The previous prime is 30997703413. The next prime is 30997703531. The reversal of 30997703520 is 2530779903.

30997703520 is a `hidden beast` number, since 30 + 9 + 97 + 7 + 0 + 3 + 520 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 136553647 + ... + 136553873.

It is an arithmetic number, because the mean of its divisors is an integer number (119508480).

Almost surely, 230997703520 is an apocalyptic number.

30997703520 is a gapful number since it is divisible by the number (30) 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 30997703520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68836884480).

30997703520 is an abundant number, since it is smaller than the sum of its proper divisors (106676065440).

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

30997703520 is a wasteful number, since it uses less digits than its factorization.

30997703520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 357210, while the sum is 45.

The spelling of 30997703520 in words is "thirty billion, nine hundred ninety-seven million, seven hundred three thousand, five hundred twenty".