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74147714064 = 24333137151991
BaseRepresentation
bin100010100001110001…
…1000101010000010000
321002101111000010221000
41011003203011100100
52203323303322224
654021334502000
75233310112324
oct1050343052020
9232344003830
1074147714064
112949a4a7036
1212453b04900
136cb8847628
14383581b984
151dde8130c9
hex11438c5410

74147714064 has 320 divisors, whose sum is σ = 227358146560. Its totient is φ = 23094720000.

The previous prime is 74147714059. The next prime is 74147714077. The reversal of 74147714064 is 46041774147.

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 an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 74820609 + ... + 74821599.

It is an arithmetic number, because the mean of its divisors is an integer number (710494208).

Almost surely, 274147714064 is an apocalyptic number.

74147714064 is a gapful number since it is divisible by the number (74) 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 74147714064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113679073280).

74147714064 is an abundant number, since it is smaller than the sum of its proper divisors (153210432496).

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

74147714064 is a wasteful number, since it uses less digits than its factorization.

74147714064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1227 (or 1215 counting only the distinct ones).

The product of its (nonzero) digits is 526848, while the sum is 45.

The spelling of 74147714064 in words is "seventy-four billion, one hundred forty-seven million, seven hundred fourteen thousand, sixty-four".