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19376323296 = 25311167109873
BaseRepresentation
bin10010000010111010…
…110011101011100000
31212000100222012122120
4102002322303223200
5304140314321141
612522405504240
71254110013321
oct220272635340
955010865576
1019376323296
11824347a530
123909112080
131a9a40c275
14d1b538448
15786122c66
hex482eb3ae0

19376323296 has 96 divisors (see below), whose sum is σ = 55819507968. Its totient is φ = 5836400640.

The previous prime is 19376323289. The next prime is 19376323313. The reversal of 19376323296 is 69232367391.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×193763232962 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

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, 121416 + ... + 231288.

It is an arithmetic number, because the mean of its divisors is an integer number (581453208).

Almost surely, 219376323296 is an apocalyptic number.

19376323296 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 19376323296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27909753984).

19376323296 is an abundant number, since it is smaller than the sum of its proper divisors (36443184672).

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

19376323296 is a wasteful number, since it uses less digits than its factorization.

19376323296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110064 (or 110056 counting only the distinct ones).

The product of its digits is 2204496, while the sum is 51.

The spelling of 19376323296 in words is "nineteen billion, three hundred seventy-six million, three hundred twenty-three thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 167 176 264 334 352 501 528 668 1002 1056 1336 1837 2004 2672 3674 4008 5344 5511 7348 8016 11022 14696 16032 22044 29392 44088 58784 88176 109873 176352 219746 329619 439492 659238 878984 1208603 1318476 1757968 2417206 2636952 3515936 3625809 4834412 5273904 7251618 9668824 10547808 14503236 18348791 19337648 29006472 36697582 38675296 55046373 58012944 73395164 110092746 116025888 146790328 201836701 220185492 293580656 403673402 440370984 587161312 605510103 807346804 880741968 1211020206 1614693608 1761483936 2422040412 3229387216 4844080824 6458774432 9688161648 19376323296