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11424062016 = 263317388891
BaseRepresentation
bin10101010001110110…
…10101101001000000
31002111011101110222000
422220323111221000
5141344024441031
65125333144000
7553045632153
oct125073255100
932434343860
1011424062016
114932648974
122269a8b000
131100a42213
147a5339c9a
1546ce073e6
hex2a8ed5a40

11424062016 has 112 divisors (see below), whose sum is σ = 35560284480. Its totient is φ = 3584010240.

The previous prime is 11424061991. The next prime is 11424062029. The reversal of 11424062016 is 61026042411.

11424062016 is a `hidden beast` number, since 1 + 1 + 4 + 24 + 0 + 620 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 165070 + ... + 223821.

It is an arithmetic number, because the mean of its divisors is an integer number (317502540).

Almost surely, 211424062016 is an apocalyptic number.

11424062016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

11424062016 is an abundant number, since it is smaller than the sum of its proper divisors (24136222464).

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

11424062016 is a wasteful number, since it uses less digits than its factorization.

11424062016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388929 (or 388913 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 11424062016 in words is "eleven billion, four hundred twenty-four million, sixty-two thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 64 68 72 96 102 108 136 144 153 192 204 216 272 288 306 408 432 459 544 576 612 816 864 918 1088 1224 1632 1728 1836 2448 3264 3672 4896 7344 9792 14688 29376 388891 777782 1166673 1555564 2333346 3111128 3500019 4666692 6222256 6611147 7000038 9333384 10500057 12444512 13222294 14000076 18666768 19833441 21000114 24889024 26444588 28000152 37333536 39666882 42000228 52889176 56000304 59500323 74667072 79333764 84000456 105778352 112000608 119000646 158667528 168000912 178500969 211556704 224001216 238001292 317335056 336001824 357001938 423113408 476002584 634670112 672003648 714003876 952005168 1269340224 1428007752 1904010336 2856015504 3808020672 5712031008 11424062016