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74203627680 = 253257132431013
BaseRepresentation
bin100010100011011100…
…0011000000010100000
321002112101012211222200
41011012320120002200
52203432112041210
654031053133200
75234556266640
oct1050670300240
9232471184880
1074203627680
1129519016836
121246a78a200
136cc72c3600
14383d014520
151de46aa0c0
hex1146e180a0

74203627680 has 864 divisors, whose sum is σ = 320971787136. Its totient is φ = 15276957696.

The previous prime is 74203627651. The next prime is 74203627721. The reversal of 74203627680 is 8672630247.

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 143 ways as a sum of consecutive naturals, for example, 73250854 + ... + 73251866.

It is an arithmetic number, because the mean of its divisors is an integer number (371495124).

Almost surely, 274203627680 is an apocalyptic number.

74203627680 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 74203627680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160485893568).

74203627680 is an abundant number, since it is smaller than the sum of its proper divisors (246768159456).

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

74203627680 is a wasteful number, since it uses less digits than its factorization.

74203627680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1110 (or 1086 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The spelling of 74203627680 in words is "seventy-four billion, two hundred three million, six hundred twenty-seven thousand, six hundred eighty".