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13641317376 = 210331143243
BaseRepresentation
bin11001011010001010…
…11111110000000000
31022012200112201111220
430231011133300000
5210414134124001
610133340435040
7662021166411
oct145505376000
938180481456
1013641317376
115870193715
122788548a80
13139520593b
149359c9808
1554c8d1c36
hex32d15fc00

13641317376 has 88 divisors (see below), whose sum is σ = 37532219904. Its totient is φ = 4400394240.

The previous prime is 13641317369. The next prime is 13641317413. The reversal of 13641317376 is 67371314631.

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, 23611 + ... + 166853.

Almost surely, 213641317376 is an apocalyptic number.

13641317376 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 13641317376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18766109952).

13641317376 is an abundant number, since it is smaller than the sum of its proper divisors (23890902528).

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

13641317376 is a wasteful number, since it uses less digits than its factorization.

13641317376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143297 (or 143279 counting only the distinct ones).

The product of its digits is 190512, while the sum is 42.

The spelling of 13641317376 in words is "thirteen billion, six hundred forty-one million, three hundred seventeen thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 128 186 192 248 256 372 384 496 512 744 768 992 1024 1488 1536 1984 2976 3072 3968 5952 7936 11904 15872 23808 31744 47616 95232 143243 286486 429729 572972 859458 1145944 1718916 2291888 3437832 4440533 4583776 6875664 8881066 9167552 13321599 13751328 17762132 18335104 26643198 27502656 35524264 36670208 53286396 55005312 71048528 73340416 106572792 110010624 142097056 146680832 213145584 220021248 284194112 426291168 440042496 568388224 852582336 1136776448 1705164672 2273552896 3410329344 4547105792 6820658688 13641317376