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74913431040 = 2933571929281
BaseRepresentation
bin100010111000100110…
…0000011111000000000
321011100211211121011000
41011301030003320000
52211410314243130
654225330452000
75261265441330
oct1056114037000
9234324747130
1074913431040
1129852751588
1212628434000
1370ab385bb6
1438a93c10c0
151e36b67260
hex1171303e00

74913431040 has 1280 divisors, whose sum is σ = 332335872000. Its totient is φ = 15606743040.

The previous prime is 74913431017. The next prime is 74913431057. The reversal of 74913431040 is 4013431947.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a super-2 number, since 2×749134310402 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 74913430986 and 74913431004.

It is a congruent number.

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 127 ways as a sum of consecutive naturals, for example, 266595700 + ... + 266595980.

It is an arithmetic number, because the mean of its divisors is an integer number (259637400).

Almost surely, 274913431040 is an apocalyptic number.

74913431040 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 74913431040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166167936000).

74913431040 is an abundant number, since it is smaller than the sum of its proper divisors (257422440960).

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

74913431040 is a wasteful number, since it uses less digits than its factorization.

74913431040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

Adding to 74913431040 its reverse (4013431947), we get a palindrome (78926862987).

The spelling of 74913431040 in words is "seventy-four billion, nine hundred thirteen million, four hundred thirty-one thousand, forty".