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11127196416 = 28376133931
BaseRepresentation
bin10100101110011101…
…11000101100000000
31001201110210010220210
422113032320230000
5140242030241131
65040050234120
7542512415610
oct122716705400
931643703823
1011127196416
1147a00153a6
1221a6585940
1310843a0cbb
14777b40a40
15451d17146
hex2973b8b00

11127196416 has 144 divisors (see below), whose sum is σ = 34401075968. Its totient is φ = 3126988800.

The previous prime is 11127196411. The next prime is 11127196417. The reversal of 11127196416 is 61469172111.

It is not an unprimeable number, because it can be changed into a prime (11127196411) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 310971 + ... + 344901.

Almost surely, 211127196416 is an apocalyptic number.

11127196416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11127196416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17200537984).

11127196416 is an abundant number, since it is smaller than the sum of its proper divisors (23273879552).

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

11127196416 is an equidigital number, since it uses as much as digits as its factorization.

11127196416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34018 (or 34004 counting only the distinct ones).

The product of its digits is 18144, while the sum is 39.

The spelling of 11127196416 in words is "eleven billion, one hundred twenty-seven million, one hundred ninety-six thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 61 64 84 96 112 122 128 168 183 192 224 244 256 336 366 384 427 448 488 672 732 768 854 896 976 1281 1344 1464 1708 1792 1952 2562 2688 2928 3416 3904 5124 5376 5856 6832 7808 10248 11712 13664 15616 20496 23424 27328 33931 40992 46848 54656 67862 81984 101793 109312 135724 163968 203586 237517 271448 327936 407172 475034 542896 712551 814344 950068 1085792 1425102 1628688 1900136 2069791 2171584 2850204 3257376 3800272 4139582 4343168 5700408 6209373 6514752 7600544 8279164 8686336 11400816 12418746 13029504 14488537 15201088 16558328 22801632 24837492 26059008 28977074 30402176 33116656 43465611 45603264 49674984 57954148 60804352 66233312 86931222 91206528 99349968 115908296 132466624 173862444 182413056 198699936 231816592 264933248 347724888 397399872 463633184 529866496 695449776 794799744 927266368 1390899552 1589599488 1854532736 2781799104 3709065472 5563598208 11127196416