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74134067472 = 24321313929923
BaseRepresentation
bin100010100001010111…
…1000001100100010000
321002100112022211022200
41011002233001210100
52203311310124342
654020130203200
75233053114333
oct1050257014420
9232315284280
1074134067472
1129492826163
121244b423500
136cb5a7a01a
143833aa861a
151ddd51994c
hex1142bc1910

74134067472 has 60 divisors (see below), whose sum is σ = 209056237104. Its totient is φ = 24522713280.

The previous prime is 74134067419. The next prime is 74134067503. The reversal of 74134067472 is 27476043147.

74134067472 is a `hidden beast` number, since 74 + 13 + 40 + 67 + 472 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1946098 + ... + 1983825.

Almost surely, 274134067472 is an apocalyptic number.

74134067472 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

74134067472 is an abundant number, since it is smaller than the sum of its proper divisors (134922169632).

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

74134067472 is a wasteful number, since it uses less digits than its factorization.

74134067472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3930068 (or 3930059 counting only the distinct ones).

The product of its (nonzero) digits is 790272, while the sum is 45.

It can be divided in two parts, 7413406 and 7472, that added together give a triangular number (7420878 = T3852).

The spelling of 74134067472 in words is "seventy-four billion, one hundred thirty-four million, sixty-seven thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 131 144 262 393 524 786 1048 1179 1572 2096 2358 3144 4716 6288 9432 18864 3929923 7859846 11789769 15719692 23579538 31439384 35369307 47159076 62878768 70738614 94318152 141477228 188636304 282954456 514819913 565908912 1029639826 1544459739 2059279652 3088919478 4118559304 4633379217 6177838956 8237118608 9266758434 12355677912 18533516868 24711355824 37067033736 74134067472