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74351387040 = 25357311315449
BaseRepresentation
bin100010100111110110…
…0000010000110100000
321002220200020210201120
41011033230002012200
52204232423341130
654053452132240
75241332235150
oct1051754020640
9232820223646
1074351387040
1129594468607
12124b0167080
13701bab9698
1438548b8760
151e02645910
hex114fb021a0

74351387040 has 384 divisors, whose sum is σ = 278459596800. Its totient is φ = 16317849600.

The previous prime is 74351387029. The next prime is 74351387087. The reversal of 74351387040 is 4078315347.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 74351386983 and 74351387001.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13642236 + ... + 13647684.

It is an arithmetic number, because the mean of its divisors is an integer number (725155200).

Almost surely, 274351387040 is an apocalyptic number.

74351387040 is a gapful number since it is divisible by the number (70) 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 74351387040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139229798400).

74351387040 is an abundant number, since it is smaller than the sum of its proper divisors (204108209760).

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

74351387040 is a wasteful number, since it uses less digits than its factorization.

74351387040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5636 (or 5628 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 42.

The spelling of 74351387040 in words is "seventy-four billion, three hundred fifty-one million, three hundred eighty-seven thousand, forty".