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13828348836 = 22344721392
BaseRepresentation
bin11001110000011101…
…11101101110100100
31022200201110220110000
430320032331232210
5211310024130321
610204101301300
7666452011551
oct147016755644
938621426400
1013828348836
115956819175
12281b104830
1313c4b9c143
14952793a28
1555e028826
hex3383bdba4

13828348836 has 135 divisors (see below), whose sum is σ = 37203185019. Its totient is φ = 4478920272.

The previous prime is 13828348783. The next prime is 13828348843. The reversal of 13828348836 is 63884382831.

The square root of 13828348836 is 117594.

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

13828348836 is a `hidden beast` number, since 1 + 3 + 82 + 83 + 488 + 3 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

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 44 ways as a sum of consecutive naturals, for example, 99484455 + ... + 99484593.

Almost surely, 213828348836 is an apocalyptic number.

13828348836 is the 117594-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13828348836

13828348836 is an abundant number, since it is smaller than the sum of its proper divisors (23374836183).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13828348836 is an equidigital number, since it uses as much as digits as its factorization.

13828348836 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388 (or 191 counting only the distinct ones).

The product of its digits is 5308416, while the sum is 54.

The spelling of 13828348836 in words is "thirteen billion, eight hundred twenty-eight million, three hundred forty-eight thousand, eight hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 47 54 81 94 108 139 141 162 188 278 282 324 417 423 556 564 834 846 1251 1269 1668 1692 2209 2502 2538 3753 3807 4418 5004 5076 6533 6627 7506 7614 8836 11259 13066 13254 15012 15228 19321 19599 19881 22518 26132 26508 38642 39198 39762 45036 57963 58797 59643 77284 78396 79524 115926 117594 119286 173889 176391 178929 231852 235188 238572 307051 347778 352782 357858 521667 529173 614102 695556 705564 715716 908087 921153 1043334 1058346 1228204 1565001 1816174 1842306 2086668 2116692 2724261 2763459 3130002 3632348 3684612 5448522 5526918 6260004 8172783 8290377 10897044 11053836 16345566 16580754 24518349 24871131 32691132 33161508 42680089 49036698 49742262 73555047 85360178 98073396 99484524 128040267 147110094 170720356 256080534 294220188 384120801 512161068 768241602 1152362403 1536483204 2304724806 3457087209 4609449612 6914174418 13828348836