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74233666080 = 25335717197733
BaseRepresentation
bin100010100100010101…
…0111101101000100000
321002121110201221221000
41011020222331220200
52204012304303310
654034045032000
75235402515310
oct1051052755040
9232543657830
1074233666080
1129533a73062
1212478855600
1370005acc02
143842dd3440
151de71404c0
hex1148abda20

74233666080 has 768 divisors, whose sum is σ = 316428456960. Its totient is φ = 15866855424.

The previous prime is 74233666079. The next prime is 74233666127. The reversal of 74233666080 is 8066633247.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 101273394 + ... + 101274126.

It is an arithmetic number, because the mean of its divisors is an integer number (412016220).

Almost surely, 274233666080 is an apocalyptic number.

74233666080 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 74233666080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158214228480).

74233666080 is an abundant number, since it is smaller than the sum of its proper divisors (242194790880).

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

74233666080 is a wasteful number, since it uses less digits than its factorization.

74233666080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 978 (or 964 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 74233666080 in words is "seventy-four billion, two hundred thirty-three million, six hundred sixty-six thousand, eighty".