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30461509047168 = 27341929783903
BaseRepresentation
bin1101110110100010111110…
…11011010001001110000000
310222212002110221101110210000
412323101133123101032000
512443040132304002133
6144441453555440000
76262525406513313
oct673213733211600
9128762427343700
1030461509047168
1197847207aaa31
1234bb7898b6000
1313cc67b046994
147744b85bc97a
1537c59165a413
hex1bb45f6d1380

30461509047168 has 480 divisors, whose sum is σ = 96662777016960. Its totient is φ = 9520141123584.

The previous prime is 30461509047161. The next prime is 30461509047173. The reversal of 30461509047168 is 86174090516403.

30461509047168 is a `hidden beast` number, since 3 + 0 + 4 + 6 + 1 + 509 + 0 + 4 + 71 + 68 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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 (30461509047161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 363014305 + ... + 363098207.

It is an arithmetic number, because the mean of its divisors is an integer number (201380785452).

Almost surely, 230461509047168 is an apocalyptic number.

30461509047168 is a gapful number since it is divisible by the number (38) 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 30461509047168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48331388508480).

30461509047168 is an abundant number, since it is smaller than the sum of its proper divisors (66201267969792).

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

30461509047168 is an equidigital number, since it uses as much as digits as its factorization.

30461509047168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84064 (or 84024 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 30461509047168 in words is "thirty trillion, four hundred sixty-one billion, five hundred nine million, forty-seven thousand, one hundred sixty-eight".