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74380462848 = 2832171032179
BaseRepresentation
bin100010101000101101…
…0111100101100000000
321002222200222000020100
41011101122330230000
52204312344302343
654100411242400
75242134334236
oct1052132745400
9232880860210
1074380462848
11295a99176aa
12124b9a49400
137024b29ac3
1438586c6956
151e04e8a9d3
hex11516bcb00

74380462848 has 324 divisors, whose sum is σ = 230579327160. Its totient is φ = 22979395584.

The previous prime is 74380462847. The next prime is 74380462859. The reversal of 74380462848 is 84826408347.

It is a happy number.

74380462848 is a `hidden beast` number, since 7 + 4 + 3 + 8 + 0 + 4 + 628 + 4 + 8 = 666.

It is a super-2 number, since 2×743804628482 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 74380462794 and 74380462803.

It is not an unprimeable number, because it can be changed into a prime (74380462847) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 415533223 + ... + 415533401.

It is an arithmetic number, because the mean of its divisors is an integer number (711664590).

Almost surely, 274380462848 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74380462848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115289663580).

74380462848 is an abundant number, since it is smaller than the sum of its proper divisors (156198864312).

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

74380462848 is a wasteful number, since it uses less digits than its factorization.

74380462848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 8257536, while the sum is 54.

The spelling of 74380462848 in words is "seventy-four billion, three hundred eighty million, four hundred sixty-two thousand, eight hundred forty-eight".