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40752333685817 = 1337130165122357
BaseRepresentation
bin10010100010000011001000…
…10111111000010000111001
312100021212220012111002210022
421101001210113320100321
520320141234410421232
6222401210314100225
711404154550623525
oct1121014427702071
9170255805432708
1040752333685817
1111a91a70a55486
1246a20aa11a675
131997c0c1120b0
14a0c5d002ad85
154aa0dd491812
hex2510645f8439

40752333685817 has 16 divisors (see below), whose sum is σ = 45107912981712. Its totient is φ = 36572715129600.

The previous prime is 40752333685783. The next prime is 40752333685849. The reversal of 40752333685817 is 71858633325704.

It can be written as a sum of positive squares in 8 ways, for example, as 17954928016 + 40734378757801 = 133996^2 + 6382349^2 .

It is not a de Polignac number, because 40752333685817 - 216 = 40752333620281 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 40752333685817.

It is not an unprimeable number, because it can be changed into a prime (40752333685717) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31935398 + ... + 33186959.

It is an arithmetic number, because the mean of its divisors is an integer number (2819244561357).

Almost surely, 240752333685817 is an apocalyptic number.

It is an amenable number.

40752333685817 is a deficient number, since it is larger than the sum of its proper divisors (4355579295895).

40752333685817 is a wasteful number, since it uses less digits than its factorization.

40752333685817 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65123708.

The product of its (nonzero) digits is 101606400, while the sum is 62.

The spelling of 40752333685817 in words is "forty trillion, seven hundred fifty-two billion, three hundred thirty-three million, six hundred eighty-five thousand, eight hundred seventeen".

Divisors: 1 13 37 481 1301 16913 48137 625781 65122357 846590641 2409527209 31323853717 84724186457 1101414423941 3134794898909 40752333685817