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11691813504 = 27376536661
BaseRepresentation
bin10101110001110001…
…01110101010000000
31010011211012122221210
422320320232222000
5142421101013004
65212100050120
7562506526560
oct127070565200
933154178853
1011691813504
114a5a7a6598
122323693940
13114435b757
147ccb16da0
15486696089
hex2b8e2ea80

11691813504 has 128 divisors (see below), whose sum is σ = 35552695680. Its totient is φ = 3334901760.

The previous prime is 11691813473. The next prime is 11691813527. The reversal of 11691813504 is 40531819611.

It is a tau number, because it is divible by the number of its divisors (128).

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, 1751934 + ... + 1758594.

It is an arithmetic number, because the mean of its divisors is an integer number (277755435).

Almost surely, 211691813504 is an apocalyptic number.

11691813504 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 11691813504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17776347840).

11691813504 is an abundant number, since it is smaller than the sum of its proper divisors (23860882176).

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

11691813504 is an equidigital number, since it uses as much as digits as its factorization.

11691813504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7338 (or 7326 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 39.

The spelling of 11691813504 in words is "eleven billion, six hundred ninety-one million, eight hundred thirteen thousand, five hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 336 384 448 653 672 896 1306 1344 1959 2612 2688 3918 4571 5224 6661 7836 9142 10448 13322 13713 15672 18284 19983 20896 26644 27426 31344 36568 39966 41792 46627 53288 54852 62688 73136 79932 83584 93254 106576 109704 125376 139881 146272 159864 186508 213152 219408 250752 279762 292544 319728 373016 426304 438816 559524 585088 639456 746032 852608 877632 1119048 1278912 1492064 1755264 2238096 2557824 2984128 4349633 4476192 5968256 8699266 8952384 13048899 17398532 17904768 26097798 30447431 34797064 52195596 60894862 69594128 91342293 104391192 121789724 139188256 182684586 208782384 243579448 278376512 365369172 417564768 487158896 556753024 730738344 835129536 974317792 1461476688 1670259072 1948635584 2922953376 3897271168 5845906752 11691813504