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30553412004 = 223319371033907
BaseRepresentation
bin11100011101001000…
…000001000110100100
32220212022122010221000
4130131020001012210
51000033133141004
622011441353300
72131066500633
oct343510010644
986768563830
1030553412004
1111a59671725
125b08338830
132b5bc2b61b
14169bb4551a
15bdc4e2c39
hex71d2011a4

30553412004 has 192 divisors, whose sum is σ = 86488729600. Its totient is φ = 9294155136.

The previous prime is 30553411979. The next prime is 30553412039. The reversal of 30553412004 is 40021435503.

30553412004 is a `hidden beast` number, since 3 + 0 + 5 + 534 + 120 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7818219 + ... + 7822125.

Almost surely, 230553412004 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 30553412004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43244364800).

30553412004 is an abundant number, since it is smaller than the sum of its proper divisors (55935317596).

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

30553412004 is a wasteful number, since it uses less digits than its factorization.

30553412004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4079 (or 4071 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

Adding to 30553412004 its reverse (40021435503), we get a palindrome (70574847507).

The spelling of 30553412004 in words is "thirty billion, five hundred fifty-three million, four hundred twelve thousand, four".