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74418435072 = 210353759137
BaseRepresentation
bin100010101001110101…
…1110011010000000000
321010002100102012100000
41011103223303100000
52204402104410242
654104245200000
75243105155362
oct1052353632000
9233070365300
1074418435072
11296192a2803
121250a700000
13702c963687
14385d76cd32
151e0848ba4c
hex1153af3400

74418435072 has 528 divisors, whose sum is σ = 234440781120. Its totient is φ = 23553441792.

The previous prime is 74418435031. The next prime is 74418435097. The reversal of 74418435072 is 27053481447.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 543200188 + ... + 543200324.

Almost surely, 274418435072 is an apocalyptic number.

74418435072 is a gapful number since it is divisible by the number (72) 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 74418435072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117220390560).

74418435072 is an abundant number, since it is smaller than the sum of its proper divisors (160022346048).

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

74418435072 is a wasteful number, since it uses less digits than its factorization.

74418435072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The spelling of 74418435072 in words is "seventy-four billion, four hundred eighteen million, four hundred thirty-five thousand, seventy-two".