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40782149654715 = 3257197657193613
BaseRepresentation
bin10010100010111010101011…
…00010110001100010111011
312100101201212010111020221200
421101131111202301202323
520321133320302422330
6222423021053505243
711406261454314540
oct1121352542614273
9170351763436850
1040782149654715
1111aa3681323197
1246a7a2b4a2223
13199a981321541
14a0dc1bc4cbc7
154aac85d67a60
hex2517558b18bb

40782149654715 has 48 divisors (see below), whose sum is σ = 81197585396928. Its totient is φ = 18548632505088.

The previous prime is 40782149654567. The next prime is 40782149654717. The reversal of 40782149654715 is 51745694128704.

It is a happy number.

40782149654715 is a `hidden beast` number, since 4 + 0 + 7 + 8 + 21 + 496 + 54 + 71 + 5 = 666.

40782149654715 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 40782149654715 - 210 = 40782149653691 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (40782149654717) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 328534752 + ... + 328658861.

It is an arithmetic number, because the mean of its divisors is an integer number (1691616362436).

Almost surely, 240782149654715 is an apocalyptic number.

40782149654715 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

40782149654715 is a deficient number, since it is larger than the sum of its proper divisors (40415435742213).

40782149654715 is a wasteful number, since it uses less digits than its factorization.

40782149654715 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 657193828 (or 657193825 counting only the distinct ones).

The product of its (nonzero) digits is 67737600, while the sum is 63.

The spelling of 40782149654715 in words is "forty trillion, seven hundred eighty-two billion, one hundred forty-nine million, six hundred fifty-four thousand, seven hundred fifteen".

Divisors: 1 3 5 7 9 15 21 35 45 63 105 197 315 591 985 1379 1773 2955 4137 6895 8865 12411 20685 62055 657193613 1971580839 3285968065 4600355291 5914742517 9857904195 13801065873 23001776455 29573712585 41403197619 69005329365 129467141761 207015988095 388401425283 647335708805 906269992327 1165204275849 1942007126415 2718809976981 4531349961635 5826021379245 8156429930943 13594049884905 40782149654715