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1638814746244 = 221325329292
BaseRepresentation
bin10111110110010000111…
…110001000011010000100
312210200001211001212222111
4113312100332020122010
5203322243033334434
63252505555310404
7226254233334364
oct27662076103204
95720054055874
101638814746244
11582021222875
122257438ab404
13bb702578100
14594676c69a4
152c968ee4964
hex17d90f88684

1638814746244 has 81 divisors (see below), whose sum is σ = 3168616234413. Its totient is φ = 741305969664.

The previous prime is 1638814746241. The next prime is 1638814746263. The reversal of 1638814746244 is 4426474188361.

The square root of 1638814746244 is 1280162.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 1637985306244 + 829440000 = 1279838^2 + 28800^2 .

It is a super-2 number, since 2×16388147462442 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1638814746241) 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 26 ways as a sum of consecutive naturals, for example, 1764062772 + ... + 1764063700.

Almost surely, 21638814746244 is an apocalyptic number.

1638814746244 is the 1280162-nd square number.

It is an amenable number.

1638814746244 is a deficient number, since it is larger than the sum of its proper divisors (1529801488169).

1638814746244 is an frugal number, since it uses more digits than its factorization.

1638814746244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1994 (or 997 counting only the distinct ones).

The product of its digits is 24772608, while the sum is 58.

The spelling of 1638814746244 in words is "one trillion, six hundred thirty-eight billion, eight hundred fourteen million, seven hundred forty-six thousand, two hundred forty-four".

Divisors: 1 2 4 13 26 52 53 106 169 212 338 676 689 929 1378 1858 2756 2809 3716 5618 8957 11236 12077 17914 24154 35828 36517 48308 49237 73034 98474 146068 157001 196948 314002 474721 628004 640081 863041 949442 1280162 1726082 1898884 2560324 2609561 3452164 5219122 8321053 10438244 11219533 16642106 22439066 33284212 33924293 44878132 45741173 67848586 91482346 135697172 145853929 182964692 291707858 441015809 583415716 594635249 882031618 1189270498 1764063236 2378540996 2424282169 4848564338 7730258237 9697128676 15460516474 30921032948 31515668197 63031336394 126062672788 409703686561 819407373122 1638814746244