Search a number
-
+
11419767936096 = 253139150455077
BaseRepresentation
bin1010011000101101111100…
…1101100001010001100000
31111102201102021002020201120
42212023133031201101200
52444100141042423341
640142100255132240
72256023331601152
oct246133715412140
944381367066646
1011419767936096
113703107318283
121345289214080
1364ab583374b0
142b6a10c92ad2
1514c0c377e066
hexa62df361460

11419767936096 has 48 divisors (see below), whose sum is σ = 32282805515184. Its totient is φ = 3513774749184.

The previous prime is 11419767936089. The next prime is 11419767936149. The reversal of 11419767936096 is 69063976791411.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×114197679360962 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 11419767936096.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4575226291 + ... + 4575228786.

It is an arithmetic number, because the mean of its divisors is an integer number (672558448233).

Almost surely, 211419767936096 is an apocalyptic number.

11419767936096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

11419767936096 is an abundant number, since it is smaller than the sum of its proper divisors (20863037579088).

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

11419767936096 is a wasteful number, since it uses less digits than its factorization.

11419767936096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9150455103 (or 9150455095 counting only the distinct ones).

The product of its (nonzero) digits is 92588832, while the sum is 69.

The spelling of 11419767936096 in words is "eleven trillion, four hundred nineteen billion, seven hundred sixty-seven million, nine hundred thirty-six thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1248 9150455077 18300910154 27451365231 36601820308 54902730462 73203640616 109805460924 118955916001 146407281232 219610921848 237911832002 292814562464 356867748003 439221843696 475823664004 713735496006 878443687392 951647328008 1427470992012 1903294656016 2854941984024 3806589312032 5709883968048 11419767936096