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19842666496 = 212312712
BaseRepresentation
bin10010011110101101…
…110001000000000000
31220012212110220020221
4102132231301000000
5311114210311441
613040545112424
71301501611432
oct223655610000
956185426227
1019842666496
118462739034
123a19328714
131b42c0baa3
14d6344c652
157b203d8d1
hex49eb71000

19842666496 has 117 divisors (see below), whose sum is σ = 41587418919. Its totient is φ = 9466060800.

The previous prime is 19842666439. The next prime is 19842666497. The reversal of 19842666496 is 69466624891.

The square root of 19842666496 is 140864.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (19842666497) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 279474141 + ... + 279474211.

Almost surely, 219842666496 is an apocalyptic number.

19842666496 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

19842666496 is the 140864-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19842666496

19842666496 is an abundant number, since it is smaller than the sum of its proper divisors (21744752423).

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

19842666496 is an frugal number, since it uses more digits than its factorization.

19842666496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 104 counting only the distinct ones).

The product of its digits is 26873856, while the sum is 61.

The spelling of 19842666496 in words is "nineteen billion, eight hundred forty-two million, six hundred sixty-six thousand, four hundred ninety-six".

Divisors: 1 2 4 8 16 31 32 62 64 71 124 128 142 248 256 284 496 512 568 961 992 1024 1136 1922 1984 2048 2201 2272 3844 3968 4096 4402 4544 5041 7688 7936 8804 9088 10082 15376 15872 17608 18176 20164 30752 31744 35216 36352 40328 61504 63488 68231 70432 72704 80656 123008 126976 136462 140864 145408 156271 161312 246016 272924 281728 290816 312542 322624 492032 545848 563456 625084 645248 984064 1091696 1126912 1250168 1290496 1968128 2183392 2253824 2500336 2580992 3936256 4366784 4507648 4844401 5000672 5161984 8733568 9015296 9688802 10001344 10323968 17467136 19377604 20002688 20647936 34934272 38755208 40005376 69868544 77510416 80010752 139737088 155020832 160021504 279474176 310041664 320043008 620083328 640086016 1240166656 2480333312 4960666624 9921333248 19842666496