Search a number
-
+
74197059480 = 23345471912551
BaseRepresentation
bin100010100011001111…
…1010100011110011000
321002111220212011010000
41011012133110132120
52203423421400410
654030300253000
75234446412445
oct1050637243630
9232456764100
1074197059480
112951533aa75
1212468541160
136cc5b33abb
14383c1c49cc
151de3d0ddc0
hex11467d4798

74197059480 has 320 divisors, whose sum is σ = 256124436480. Its totient is φ = 19255968000.

The previous prime is 74197059449. The next prime is 74197059481. The reversal of 74197059480 is 8495079147.

74197059480 is a `hidden beast` number, since 7 + 41 + 9 + 7 + 0 + 594 + 8 + 0 = 666.

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 (74197059481) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 29084205 + ... + 29086755.

It is an arithmetic number, because the mean of its divisors is an integer number (800388864).

Almost surely, 274197059480 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 74197059480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128062218240).

74197059480 is an abundant number, since it is smaller than the sum of its proper divisors (181927377000).

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

74197059480 is a wasteful number, since it uses less digits than its factorization.

74197059480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2812 (or 2799 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

The spelling of 74197059480 in words is "seventy-four billion, one hundred ninety-seven million, fifty-nine thousand, four hundred eighty".