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30643498368 = 273372355073
BaseRepresentation
bin11100100010011111…
…101010110110000000
32221002121011000012000
4130202133222312000
51000224213421433
622024420304000
72133242303250
oct344237526600
987077130160
1030643498368
1111aa550196a
125b32542000
132b747b0972
1416a9ab5960
15be538a113
hex7227ead80

30643498368 has 256 divisors, whose sum is σ = 107856921600. Its totient is φ = 8374468608.

The previous prime is 30643498363. The next prime is 30643498429. The reversal of 30643498368 is 86389434603.

30643498368 is a `hidden beast` number, since 30 + 64 + 3 + 498 + 3 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30643498363) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 528880 + ... + 583952.

It is an arithmetic number, because the mean of its divisors is an integer number (421316100).

Almost surely, 230643498368 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 30643498368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53928460800).

30643498368 is an abundant number, since it is smaller than the sum of its proper divisors (77213423232).

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

30643498368 is a wasteful number, since it uses less digits than its factorization.

30643498368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55126 (or 55108 counting only the distinct ones).

The product of its (nonzero) digits is 8957952, while the sum is 54.

The spelling of 30643498368 in words is "thirty billion, six hundred forty-three million, four hundred ninety-eight thousand, three hundred sixty-eight".