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74212111384704 = 27354439835479
BaseRepresentation
bin10000110111111011011010…
…100010011000000010000000
3100201202121102122022020200000
4100313323122202120002000
534211342401003302304
6421500323500400000
721426435205456506
oct2067733242300200
9321677378266600
1074212111384704
11217121a8197537
1283a6979b46000
133254231084817
141447c575ba676
1588a662348939
hex437eda898080

74212111384704 has 384 divisors, whose sum is σ = 222228723225600. Its totient is φ = 24651921355776.

The previous prime is 74212111384637. The next prime is 74212111384739. The reversal of 74212111384704 is 40748311121247.

74212111384704 is a `hidden beast` number, since 7 + 4 + 21 + 21 + 1 + 138 + 470 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a self number, because there is not a number n which added to its sum of digits gives 74212111384704.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13544825037 + ... + 13544830515.

It is an arithmetic number, because the mean of its divisors is an integer number (578720633400).

Almost surely, 274212111384704 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 74212111384704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111114361612800).

74212111384704 is an abundant number, since it is smaller than the sum of its proper divisors (148016611840896).

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

74212111384704 is an equidigital number, since it uses as much as digits as its factorization.

74212111384704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6934 (or 6910 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The spelling of 74212111384704 in words is "seventy-four trillion, two hundred twelve billion, one hundred eleven million, three hundred eighty-four thousand, seven hundred four".