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11807243136 = 273213260647
BaseRepresentation
bin10101111111100010…
…00011101110000000
31010110212102002122100
422333301003232000
5143140123240021
65231342110400
7565410624243
oct127761035600
933425362570
1011807243136
115009976587
12235627b400
131162245300
148001a325a
15491897626
hex2bfc43b80

11807243136 has 144 divisors (see below), whose sum is σ = 36791805960. Its totient is φ = 3632937984.

The previous prime is 11807243069. The next prime is 11807243159. The reversal of 11807243136 is 63134270811.

It is a happy number.

11807243136 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×118072431362 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 11807243136.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 164365 + ... + 225011.

Almost surely, 211807243136 is an apocalyptic number.

11807243136 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 11807243136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18395902980).

11807243136 is an abundant number, since it is smaller than the sum of its proper divisors (24984562824).

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

11807243136 is a wasteful number, since it uses less digits than its factorization.

11807243136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60693 (or 60665 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 11807243136 in words is "eleven billion, eight hundred seven million, two hundred forty-three thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 128 144 156 169 192 208 234 288 312 338 384 416 468 507 576 624 676 832 936 1014 1152 1248 1352 1521 1664 1872 2028 2496 2704 3042 3744 4056 4992 5408 6084 7488 8112 10816 12168 14976 16224 21632 24336 32448 48672 60647 64896 97344 121294 181941 194688 242588 363882 485176 545823 727764 788411 970352 1091646 1455528 1576822 1940704 2183292 2365233 2911056 3153644 3881408 4366584 4730466 5822112 6307288 7095699 7762816 8733168 9460932 10249343 11644224 12614576 14191398 17466336 18921864 20498686 23288448 25229152 28382796 30748029 34932672 37843728 40997372 50458304 56765592 61496058 69865344 75687456 81994744 92244087 100916608 113531184 122992116 151374912 163989488 184488174 227062368 245984232 302749824 327978976 368976348 454124736 491968464 655957952 737952696 908249472 983936928 1311915904 1475905392 1967873856 2951810784 3935747712 5903621568 11807243136