Search a number
-
+
74004811776 = 2123272337337
BaseRepresentation
bin100010011101100000…
…1111101000000000000
321002000112002221211200
41010323001331000000
52203030212434101
653555231541200
75226623343510
oct1047301750000
9232015087750
1074004811776
1129426872475
121241408a800
136c9506226c
14382085d840
151dd1ed6986
hex113b07d000

74004811776 has 624 divisors, whose sum is σ = 262592189184. Its totient is φ = 19619905536.

The previous prime is 74004811717. The next prime is 74004811801. The reversal of 74004811776 is 67711840047.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 219598680 + ... + 219599016.

It is an arithmetic number, because the mean of its divisors is an integer number (420820816).

Almost surely, 274004811776 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 74004811776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131296094592).

74004811776 is an abundant number, since it is smaller than the sum of its proper divisors (188587377408).

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

74004811776 is a wasteful number, since it uses less digits than its factorization.

74004811776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 263424, while the sum is 45.

The spelling of 74004811776 in words is "seventy-four billion, four million, eight hundred eleven thousand, seven hundred seventy-six".