Search a number
-
+
74702718720 = 2833572311423
BaseRepresentation
bin100010110010010100…
…0010000011100000000
321010211011100022012000
41011210220100130000
52210442343444340
654152402304000
75253126426600
oct1054450203400
9233734308160
1074702718720
1129754812273
1212589958000
13707681aa56
143889410c00
151e233e3d30
hex1164a10700

74702718720 has 864 divisors, whose sum is σ = 318542192640. Its totient is φ = 16512491520.

The previous prime is 74702718697. The next prime is 74702718733. The reversal of 74702718720 is 2781720747.

It is a tau number, because it is divible by the number of its divisors (864).

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 52495929 + ... + 52497351.

Almost surely, 274702718720 is an apocalyptic number.

74702718720 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 74702718720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159271096320).

74702718720 is an abundant number, since it is smaller than the sum of its proper divisors (243839473920).

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

74702718720 is a wasteful number, since it uses less digits than its factorization.

74702718720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1498 (or 1471 counting only the distinct ones).

The product of its (nonzero) digits is 307328, while the sum is 45.

The spelling of 74702718720 in words is "seventy-four billion, seven hundred two million, seven hundred eighteen thousand, seven hundred twenty".