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40483969583616 = 29321323101290923
BaseRepresentation
bin10010011010001111010001…
…01000000100101000000000
312022100020012110002012022200
421031013220220010220000
520301242132203133431
6222034025012033200
711345604335451306
oct1115075050045000
9168306173065280
1040483969583616
1111999178462469
12465a093602800
13197881156c950
149dd6126d0276
154a313334bee6
hex24d1e8a04a00

40483969583616 has 480 divisors, whose sum is σ = 132598308915072. Its totient is φ = 11797003468800.

The previous prime is 40483969583573. The next prime is 40483969583623. The reversal of 40483969583616 is 61638596938404.

40483969583616 is a `hidden beast` number, since 4 + 0 + 4 + 8 + 39 + 6 + 9 + 583 + 6 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

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, 139011531 + ... + 139302453.

Almost surely, 240483969583616 is an apocalyptic number.

40483969583616 is a gapful number since it is divisible by the number (46) 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 40483969583616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66299154457536).

40483969583616 is an abundant number, since it is smaller than the sum of its proper divisors (92114339331456).

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

40483969583616 is a wasteful number, since it uses less digits than its factorization.

40483969583616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291084 (or 291065 counting only the distinct ones).

The product of its (nonzero) digits is 806215680, while the sum is 72.

The spelling of 40483969583616 in words is "forty trillion, four hundred eighty-three billion, nine hundred sixty-nine million, five hundred eighty-three thousand, six hundred sixteen".