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74198831040 = 26325172239373
BaseRepresentation
bin100010100011010011…
…0000100111111000000
321002112001012011020100
41011012212010333000
52203424400043130
654030402242400
75234500441365
oct1050646047700
9232461164210
1074198831040
112951633aa74
1212469056400
136cc6304269
14383c52646c
151de405dc60
hex1146984fc0

74198831040 has 504 divisors, whose sum is σ = 272972905920. Its totient is φ = 18494816256.

The previous prime is 74198831029. The next prime is 74198831129. The reversal of 74198831040 is 4013889147.

It is a happy number.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 198924294 + ... + 198924666.

Almost surely, 274198831040 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 74198831040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136486452960).

74198831040 is an abundant number, since it is smaller than the sum of its proper divisors (198774074880).

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

74198831040 is a wasteful number, since it uses less digits than its factorization.

74198831040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 669 (or 639 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 74198831040 in words is "seventy-four billion, one hundred ninety-eight million, eight hundred thirty-one thousand, forty".