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11115134444456 = 23719211224322073
BaseRepresentation
bin1010000110111111000110…
…1000111110001110101000
31110100121002211102110100222
42201233301220332032220
52424102243404210311
635350120002145212
72225020251622520
oct241576150761650
943317084373328
1011115134444456
1135a59a1694149
1212b6230052208
136281ca593273
142a5d92616680
151441e4413adb
hexa1bf1a3e3a8

11115134444456 has 128 divisors (see below), whose sum is σ = 25202927692800. Its totient is φ = 4489317665280.

The previous prime is 11115134444423. The next prime is 11115134444501. The reversal of 11115134444456 is 65444443151111.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 503551436 + ... + 503573508.

It is an arithmetic number, because the mean of its divisors is an integer number (196897872600).

Almost surely, 211115134444456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11115134444456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12601463846400).

11115134444456 is an abundant number, since it is smaller than the sum of its proper divisors (14087793248344).

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

11115134444456 is a wasteful number, since it uses less digits than its factorization.

11115134444456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24559 (or 24555 counting only the distinct ones).

The product of its digits is 460800, while the sum is 44.

Adding to 11115134444456 its reverse (65444443151111), we get a palindrome (76559577595567).

The spelling of 11115134444456 in words is "eleven trillion, one hundred fifteen billion, one hundred thirty-four million, four hundred forty-four thousand, four hundred fifty-six".

Divisors: 1 2 4 7 8 14 19 28 38 56 76 133 152 211 266 422 532 844 1064 1477 1688 2243 2954 4009 4486 5908 8018 8972 11816 15701 16036 17944 22073 28063 31402 32072 42617 44146 56126 62804 85234 88292 112252 125608 154511 170468 176584 224504 298319 309022 340936 419387 473273 596638 618044 838774 946546 1193276 1236088 1677548 1893092 2386552 2935709 3312911 3355096 3786184 4657403 5871418 6625822 8992187 9314806 11742836 13251644 17984374 18629612 23485672 26503288 32601821 35968748 37259224 49509739 62945309 65203642 71937496 88490657 99019478 125890618 130407284 176981314 198038956 251781236 260814568 346568173 353962628 396077912 503562472 619434599 693136346 707925256 940685041 1238869198 1386272692 1881370082 2477738396 2772545384 3762740164 4955476792 6584795287 7525480328 10446554929 13169590574 20893109858 26339181148 41786219716 52678362296 73125884503 83572439432 146251769006 198484543651 292503538012 396969087302 585007076024 793938174604 1389391805557 1587876349208 2778783611114 5557567222228 11115134444456