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19814403936 = 2532572932741
BaseRepresentation
bin10010011101000001…
…111100111101100000
31220010220022000022110
4102131001330331200
5311034441411221
613034055235320
71301006440335
oct223501747540
956126260273
1019814403936
118448794a48
123a0b978b40
131b3a0c4892
14d5d7b298c
157ae809776
hex49d07cf60

19814403936 has 96 divisors (see below), whose sum is σ = 52412518368. Its totient is φ = 6554255360.

The previous prime is 19814403901. The next prime is 19814403949. The reversal of 19814403936 is 63930441891.

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

It is a super-3 number, since 3×198144039363 (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7227526 + ... + 7230266.

It is an arithmetic number, because the mean of its divisors is an integer number (545963733).

Almost surely, 219814403936 is an apocalyptic number.

19814403936 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

19814403936 is an abundant number, since it is smaller than the sum of its proper divisors (32598114432).

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

19814403936 is a wasteful number, since it uses less digits than its factorization.

19814403936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3304 (or 3296 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 48.

The spelling of 19814403936 in words is "nineteen billion, eight hundred fourteen million, four hundred three thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 257 293 514 586 771 879 1028 1172 1542 1758 2056 2344 2741 3084 3516 4112 4688 5482 6168 7032 8223 8224 9376 10964 12336 14064 16446 21928 24672 28128 32892 43856 65784 75301 87712 131568 150602 225903 263136 301204 451806 602408 704437 803113 903612 1204816 1408874 1606226 1807224 2113311 2409339 2409632 2817748 3212452 3614448 4226622 4818678 5635496 6424904 7228896 8453244 9637356 11270992 12849808 16906488 19274712 22541984 25699616 33812976 38549424 67625952 77098848 206400041 412800082 619200123 825600164 1238400246 1651200328 2476800492 3302400656 4953600984 6604801312 9907201968 19814403936