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13836640825 = 527273359431
BaseRepresentation
bin11001110001011101…
…00110001000111001
31022201022002011220201
430320232212020321
5211314140001300
610204555122201
7666612335500
oct147056461071
938638064821
1013836640825
115960472057
122821a43361
1313c6813447
14953911837
1555eb1566a
hex338ba6239

13836640825 has 72 divisors (see below), whose sum is σ = 20335484160. Its totient is φ = 9310291200.

The previous prime is 13836640813. The next prime is 13836640849. The reversal of 13836640825 is 52804663831.

13836640825 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 13836640825 - 25 = 13836640793 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 32103360 + ... + 32103790.

It is an arithmetic number, because the mean of its divisors is an integer number (282437280).

Almost surely, 213836640825 is an apocalyptic number.

It is an amenable number.

13836640825 is a deficient number, since it is larger than the sum of its proper divisors (6498843335).

13836640825 is a wasteful number, since it uses less digits than its factorization.

13836640825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 887 (or 875 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 46.

The spelling of 13836640825 in words is "thirteen billion, eight hundred thirty-six million, six hundred forty thousand, eight hundred twenty-five".

Divisors: 1 5 7 25 35 49 73 175 245 359 365 431 511 1225 1795 1825 2155 2513 2555 3017 3577 8975 10775 12565 12775 15085 17591 17885 21119 26207 31463 62825 75425 87955 89425 105595 131035 154729 157315 183449 220241 439775 527975 655175 773645 786575 917245 1083103 1101205 1284143 1541687 3868225 4586225 5415515 5506025 6420715 7581721 7708435 11295217 27077575 32103575 37908605 38542175 56476085 79066519 189543025 282380425 395332595 553465633 1976662975 2767328165 13836640825