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30865709952 = 2732721124519
BaseRepresentation
bin11100101111101111…
…010101101110000000
32221200002021112011200
4130233233111232000
51001203110204302
622102435141200
72141611130400
oct345757255600
987602245150
1030865709952
11120a9985800
125b94a44800
132bab843bcc
1416cb3da800
15c09b3081c
hex72fbd5b80

30865709952 has 432 divisors, whose sum is σ = 113592187800. Its totient is φ = 8015293440.

The previous prime is 30865709921. The next prime is 30865709977. The reversal of 30865709952 is 25990756803.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 6827949 + ... + 6832467.

Almost surely, 230865709952 is an apocalyptic number.

30865709952 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 30865709952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56796093900).

30865709952 is an abundant number, since it is smaller than the sum of its proper divisors (82726477848).

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

30865709952 is a wasteful number, since it uses less digits than its factorization.

30865709952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4575 (or 4542 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 54.

The spelling of 30865709952 in words is "thirty billion, eight hundred sixty-five million, seven hundred nine thousand, nine hundred fifty-two".