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11114978364 = 22327291917963
BaseRepresentation
bin10100101101000000…
…10001110000111100
31001200121210101220100
422112200101300330
5140230413301424
65034532321100
7542303520510
oct122640216074
931617711810
1011114978364
11479412a836
1221a2473190
1310819b3999
14776280140
15450c01dc9
hex296811c3c

11114978364 has 144 divisors (see below), whose sum is σ = 33395281920. Its totient is φ = 3049764480.

The previous prime is 11114978363. The next prime is 11114978401. The reversal of 11114978364 is 46387941111.

11114978364 is a `hidden beast` number, since 11 + 11 + 497 + 83 + 64 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11114978363) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1391847 + ... + 1399809.

It is an arithmetic number, because the mean of its divisors is an integer number (231911680).

Almost surely, 211114978364 is an apocalyptic number.

11114978364 is a gapful number since it is divisible by the number (14) 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 11114978364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16697640960).

11114978364 is an abundant number, since it is smaller than the sum of its proper divisors (22280303556).

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

11114978364 is a wasteful number, since it uses less digits than its factorization.

11114978364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8200 (or 8195 counting only the distinct ones).

The product of its digits is 145152, while the sum is 45.

The spelling of 11114978364 in words is "eleven billion, one hundred fourteen million, nine hundred seventy-eight thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 29 36 42 58 63 84 87 116 126 174 191 203 252 261 348 382 406 522 573 609 764 812 1044 1146 1218 1337 1719 1827 2292 2436 2674 3438 3654 4011 5348 5539 6876 7308 7963 8022 11078 12033 15926 16044 16617 22156 23889 24066 31852 33234 38773 47778 48132 49851 55741 66468 71667 77546 95556 99702 111482 116319 143334 155092 167223 199404 222964 230927 232638 286668 334446 348957 461854 465276 501669 668892 692781 697914 923708 1003338 1385562 1395828 1520933 1616489 2006676 2078343 2771124 3041866 3232978 4156686 4562799 4849467 6083732 6465956 8313372 9125598 9698934 10646531 13688397 14548401 18251196 19397868 21293062 27376794 29096802 31939593 42586124 44107057 54753588 58193604 63879186 88214114 95818779 127758372 132321171 176428228 191637558 264642342 308749399 383275116 396963513 529284684 617498798 793927026 926248197 1234997596 1587854052 1852496394 2778744591 3704992788 5557489182 11114978364