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2040652225665 = 325173977268297
BaseRepresentation
bin11101101100100000010…
…110011101110010000001
321020002021120011212212200
4131230200112131302001
5231413223432210130
64201243535143413
7300301156502304
oct35544026356201
97202246155780
102040652225665
11717487a886a9
1228b5aa374b69
1311a581799981
1470aa791ab3b
1538136d9b760
hex1db2059dc81

2040652225665 has 48 divisors (see below), whose sum is σ = 3561230965968. Its totient is φ = 1080945266688.

The previous prime is 2040652225663. The next prime is 2040652225691. The reversal of 2040652225665 is 5665222560402.

2040652225665 is a `hidden beast` number, since 2 + 0 + 4 + 0 + 65 + 2 + 22 + 566 + 5 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 727315597584 + 1313336628081 = 852828^2 + 1146009^2 .

It is not a de Polignac number, because 2040652225665 - 21 = 2040652225663 is a prime.

It is a super-2 number, since 2×20406522256652 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 2040652225665.

It is not an unprimeable number, because it can be changed into a prime (2040652225663) 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 47 ways as a sum of consecutive naturals, for example, 7471797 + ... + 7740093.

It is an arithmetic number, because the mean of its divisors is an integer number (74192311791).

Almost surely, 22040652225665 is an apocalyptic number.

It is an amenable number.

2040652225665 is a deficient number, since it is larger than the sum of its proper divisors (1520578740303).

2040652225665 is a wasteful number, since it uses less digits than its factorization.

2040652225665 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269458 (or 269455 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 45.

The spelling of 2040652225665 in words is "two trillion, forty billion, six hundred fifty-two million, two hundred twenty-five thousand, six hundred sixty-five".

Divisors: 1 3 5 9 15 45 173 519 865 977 1557 2595 2931 4885 7785 8793 14655 43965 169021 268297 507063 804891 845105 1341485 1521189 2414673 2535315 4024455 7605945 12073365 46415381 139246143 232076905 262126169 417738429 696230715 786378507 1310630845 2088692145 2359135521 3931892535 11795677605 45347827237 136043481711 226739136185 408130445133 680217408555 2040652225665