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40477372790369 is a prime number
BaseRepresentation
bin10010011010000010111110…
…11011010011011001100001
312022022121011201001101012212
421031001133123103121201
520301140124413242434
6222031014235531505
711345252013601034
oct1115013733233141
9168277151041185
1040477372790369
11119963a2774019
1246589522b9b95
131977ccc95baa8
149dd18853101b
154a2d9912b8ce
hex24d05f6d3661

40477372790369 has 2 divisors, whose sum is σ = 40477372790370. Its totient is φ = 40477372790368.

The previous prime is 40477372790359. The next prime is 40477372790483. The reversal of 40477372790369 is 96309727377404.

40477372790369 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 37086942909025 + 3390429881344 = 6089905^2 + 1841312^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-40477372790369 is a prime.

It is a super-2 number, since 2×404773727903692 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 40477372790299 and 40477372790308.

It is not a weakly prime, because it can be changed into another prime (40477372790359) 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 as a sum of consecutive naturals, namely, 20238686395184 + 20238686395185.

It is an arithmetic number, because the mean of its divisors is an integer number (20238686395185).

Almost surely, 240477372790369 is an apocalyptic number.

It is an amenable number.

40477372790369 is a deficient number, since it is larger than the sum of its proper divisors (1).

40477372790369 is an equidigital number, since it uses as much as digits as its factorization.

40477372790369 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 336063168, while the sum is 68.

The spelling of 40477372790369 in words is "forty trillion, four hundred seventy-seven billion, three hundred seventy-two million, seven hundred ninety thousand, three hundred sixty-nine".