Search a number
-
+
74144522880 = 273454730431
BaseRepresentation
bin100010100001101011…
…0111010001010000000
321002101021000000110000
41011003112322022000
52203321444213010
654021142240000
75233241021511
oct1050326721200
9232337000400
1074144522880
112949871749a
1212452a26000
136cb7c9ac5c
14383522aa08
151dde3d27c0
hex11435ba280

74144522880 has 320 divisors, whose sum is σ = 270426055680. Its totient is φ = 19350558720.

The previous prime is 74144522869. The next prime is 74144522971. The reversal of 74144522880 is 8822544147.

74144522880 is a `hidden beast` number, since 7 + 4 + 1 + 44 + 522 + 8 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2421265 + ... + 2451695.

It is an arithmetic number, because the mean of its divisors is an integer number (845081424).

Almost surely, 274144522880 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 74144522880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135213027840).

74144522880 is an abundant number, since it is smaller than the sum of its proper divisors (196281532800).

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

74144522880 is a wasteful number, since it uses less digits than its factorization.

74144522880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30509 (or 30488 counting only the distinct ones).

The product of its (nonzero) digits is 573440, while the sum is 45.

The spelling of 74144522880 in words is "seventy-four billion, one hundred forty-four million, five hundred twenty-two thousand, eight hundred eighty".