Search a number
-
+
74874660840 = 233257314197241
BaseRepresentation
bin100010110111011100…
…0001010011111101000
321011021010212212102200
41011232320022133220
52211320403121330
654221423500200
75260315054560
oct1055670123750
9234233785380
1074874660840
11298328809a1
1212617457660
1370a3330055
1438a41abda0
151e33559a60
hex116ee0a7e8

74874660840 has 768 divisors, whose sum is σ = 298343485440. Its totient is φ = 15925248000.

The previous prime is 74874660793. The next prime is 74874660857. The reversal of 74874660840 is 4806647847.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 310683120 + ... + 310683360.

It is an arithmetic number, because the mean of its divisors is an integer number (388468080).

Almost surely, 274874660840 is an apocalyptic number.

74874660840 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 74874660840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149171742720).

74874660840 is an abundant number, since it is smaller than the sum of its proper divisors (223468824600).

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

74874660840 is a wasteful number, since it uses less digits than its factorization.

74874660840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434 (or 427 counting only the distinct ones).

The product of its (nonzero) digits is 7225344, while the sum is 54.

The spelling of 74874660840 in words is "seventy-four billion, eight hundred seventy-four million, six hundred sixty thousand, eight hundred forty".