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74740216320 = 2934571131151
BaseRepresentation
bin100010110011011011…
…1010011001000000000
321010220202220101020000
41011212313103020000
52211031443410240
654200222120000
75254063233210
oct1054667231000
9233822811200
1074740216320
11297739a3820
121259a420000
137081519593
1438903b2240
151e2684e430
hex1166dd3200

74740216320 has 1600 divisors, whose sum is σ = 346798374912. Its totient is φ = 14929920000.

The previous prime is 74740216319. The next prime is 74740216357. The reversal of 74740216320 is 2361204747.

74740216320 is a `hidden beast` number, since 7 + 474 + 0 + 2 + 163 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 494968245 + ... + 494968395.

Almost surely, 274740216320 is an apocalyptic number.

74740216320 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 74740216320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173399187456).

74740216320 is an abundant number, since it is smaller than the sum of its proper divisors (272058158592).

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

74740216320 is a wasteful number, since it uses less digits than its factorization.

74740216320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The spelling of 74740216320 in words is "seventy-four billion, seven hundred forty million, two hundred sixteen thousand, three hundred twenty".