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11153894544 = 24321326772
BaseRepresentation
bin10100110001101001…
…01110110010010000
31001210100000112212100
422120310232302100
5140320344111134
65042442400400
7543255352662
oct123064566220
931710015770
1011153894544
1148040a0071
1221b3500100
131089a8b100
1477b4d0532
1545433c999
hex298d2ec90

11153894544 has 135 divisors (see below), whose sum is σ = 33851307243. Its totient is φ = 3426898176.

The previous prime is 11153894513. The next prime is 11153894561. The reversal of 11153894544 is 44549835111.

The square root of 11153894544 is 105612.

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

11153894544 is a `hidden beast` number, since 1 + 1 + 15 + 3 + 8 + 94 + 544 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1089792144 + 10064102400 = 33012^2 + 100320^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 11153894544.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 16475134 + ... + 16475810.

Almost surely, 211153894544 is an apocalyptic number.

11153894544 is the 105612-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11153894544

11153894544 is an abundant number, since it is smaller than the sum of its proper divisors (22697412699).

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

11153894544 is an equidigital number, since it uses as much as digits as its factorization.

11153894544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1394 (or 695 counting only the distinct ones).

The product of its digits is 345600, while the sum is 45.

The spelling of 11153894544 in words is "eleven billion, one hundred fifty-three million, eight hundred ninety-four thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 169 208 234 312 338 468 507 624 676 677 936 1014 1352 1354 1521 1872 2028 2031 2704 2708 3042 4056 4062 5416 6084 6093 8112 8124 8801 10832 12168 12186 16248 17602 24336 24372 26403 32496 35204 48744 52806 70408 79209 97488 105612 114413 140816 158418 211224 228826 316836 343239 422448 457652 458329 633672 686478 915304 916658 1029717 1267344 1372956 1374987 1830608 1833316 2059434 2745912 2749974 3666632 4118868 4124961 5491824 5499948 5958277 7333264 8237736 8249922 10999896 11916554 16475472 16499844 17874831 21999792 23833108 32999688 35749662 47666216 53624493 65999376 71499324 77457601 95332432 107248986 142998648 154915202 214497972 232372803 285997296 309830404 428995944 464745606 619660808 697118409 857991888 929491212 1239321616 1394236818 1858982424 2788473636 3717964848 5576947272 11153894544