Search a number
-
+
74147127296 = 2131121931127
BaseRepresentation
bin100010100001110000…
…0110110000000000000
321002101102220100000212
41011003200312000000
52203323131033141
654021314133252
75233302116534
oct1050340660000
9232342810025
1074147127296
112949a136200
1212453881228
136cb86a0528
143835707bc4
151dde7492eb
hex1143836000

74147127296 has 336 divisors, whose sum is σ = 178498682880. Its totient is φ = 30656102400.

The previous prime is 74147127287. The next prime is 74147127319. The reversal of 74147127296 is 69272174147.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 583835585 + ... + 583835711.

It is an arithmetic number, because the mean of its divisors is an integer number (531246080).

Almost surely, 274147127296 is an apocalyptic number.

74147127296 is a gapful number since it is divisible by the number (76) 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 74147127296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89249341440).

74147127296 is an abundant number, since it is smaller than the sum of its proper divisors (104351555584).

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

74147127296 is a wasteful number, since it uses less digits than its factorization.

74147127296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 190 counting only the distinct ones).

The product of its digits is 1185408, while the sum is 50.

The spelling of 74147127296 in words is "seventy-four billion, one hundred forty-seven million, one hundred twenty-seven thousand, two hundred ninety-six".