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19148091248 = 24112136611151
BaseRepresentation
bin10001110101010100…
…001010111101110000
31211102110111211010202
4101311110022331300
5303203402404443
612444014014332
71245336042626
oct216524127560
954373454122
1019148091248
118136664400
1238647a73a8
131a6204b910
14cd90c7516
1577108d7b8
hex47550af70

19148091248 has 120 divisors (see below), whose sum is σ = 44020182528. Its totient is φ = 8015040000.

The previous prime is 19148091233. The next prime is 19148091289. The reversal of 19148091248 is 84219084191.

It is a happy number.

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 23 ways as a sum of consecutive naturals, for example, 16635473 + ... + 16636623.

Almost surely, 219148091248 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 19148091248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22010091264).

19148091248 is an abundant number, since it is smaller than the sum of its proper divisors (24872091280).

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

19148091248 is a wasteful number, since it uses less digits than its factorization.

19148091248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1855 (or 1838 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 47.

The spelling of 19148091248 in words is "nineteen billion, one hundred forty-eight million, ninety-one thousand, two hundred forty-eight".

Divisors: 1 2 4 8 11 13 16 22 26 44 52 88 104 121 143 176 208 242 286 484 572 661 968 1144 1151 1322 1573 1936 2288 2302 2644 3146 4604 5288 6292 7271 8593 9208 10576 12584 12661 14542 14963 17186 18416 25168 25322 29084 29926 34372 50644 58168 59852 68744 79981 94523 101288 116336 119704 137488 139271 159962 164593 189046 202576 239408 278542 319924 329186 378092 557084 639848 658372 756184 760811 1039753 1114168 1279696 1316744 1512368 1521622 1810523 2079506 2228336 2633488 3043244 3621046 4159012 6086488 7242092 8318024 8368921 9890543 12172976 14484184 16636048 16737842 19781086 28968368 33475684 39562172 66951368 79124344 92058131 108795973 133902736 158248688 184116262 217591946 368232524 435183892 736465048 870367784 1196755703 1472930096 1740735568 2393511406 4787022812 9574045624 19148091248