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19105976048 = 2417314335233
BaseRepresentation
bin10001110010110011…
…100000111011110000
31211022112021010221112
4101302303200323300
5303112112213143
612435511212452
71244315055035
oct216263407360
954275233845
1019105976048
118114909655
123852677128
131a563c4393
14cd368338c
1576c51ee18
hex472ce0ef0

19105976048 has 80 divisors (see below), whose sum is σ = 40560903936. Its totient is φ = 8679260160.

The previous prime is 19105976009. The next prime is 19105976059. The reversal of 19105976048 is 84067950191.

It is a junction number, because it is equal to n+sod(n) for n = 19105975987 and 19105976005.

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, 3648440 + ... + 3653672.

Almost surely, 219105976048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19105976048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20280451968).

19105976048 is an abundant number, since it is smaller than the sum of its proper divisors (21454927888).

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

19105976048 is a wasteful number, since it uses less digits than its factorization.

19105976048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5722 (or 5716 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 50.

The spelling of 19105976048 in words is "nineteen billion, one hundred five million, nine hundred seventy-six thousand, forty-eight".

Divisors: 1 2 4 8 16 17 31 34 62 68 124 136 248 272 433 496 527 866 1054 1732 2108 3464 4216 5233 6928 7361 8432 10466 13423 14722 20932 26846 29444 41864 53692 58888 83728 88961 107384 117776 162223 177922 214768 228191 324446 355844 456382 648892 711688 912764 1297784 1423376 1825528 2265889 2595568 2757791 3651056 4531778 5515582 9063556 11031164 18127112 22062328 36254224 38520113 44124656 70242559 77040226 140485118 154080452 280970236 308160904 561940472 616321808 1123880944 1194123503 2388247006 4776494012 9552988024 19105976048