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11914463808 = 2632131591141
BaseRepresentation
bin10110001100010100…
…00100101001000000
31010202100011110202100
423012022010221000
5143400100320213
65250132150400
7601152162042
oct130612045100
933670143670
1011914463808
11506444a005
122386168400
13117b5165b0
14810513a92
1549aec6773
hex2c6284a40

11914463808 has 84 divisors (see below), whose sum is σ = 36777656188. Its totient is φ = 3665986560.

The previous prime is 11914463801. The next prime is 11914463861. The reversal of 11914463808 is 80836441911.

11914463808 is a `hidden beast` number, since 1 + 1 + 9 + 1 + 4 + 4 + 638 + 0 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1719926784 + 10194537024 = 41472^2 + 100968^2 .

It is a super-3 number, since 3×119144638083 (a number of 31 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (11914463801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 788083 + ... + 803058.

Almost surely, 211914463808 is an apocalyptic number.

11914463808 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

11914463808 is an abundant number, since it is smaller than the sum of its proper divisors (24863192380).

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

11914463808 is a wasteful number, since it uses less digits than its factorization.

11914463808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1591172 (or 1591159 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 11914463808 in words is "eleven billion, nine hundred fourteen million, four hundred sixty-three thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 144 156 192 208 234 288 312 416 468 576 624 832 936 1248 1872 2496 3744 7488 1591141 3182282 4773423 6364564 9546846 12729128 14320269 19093692 20684833 25458256 28640538 38187384 41369666 50916512 57281076 62054499 76374768 82739332 101833024 114562152 124108998 152749536 165478664 186163497 229124304 248217996 305499072 330957328 372326994 458248608 496435992 661914656 744653988 916497216 992871984 1323829312 1489307976 1985743968 2978615952 3971487936 5957231904 11914463808