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19138965984 = 253327118171
BaseRepresentation
bin10001110100110001…
…010111000111100000
31211101211100012122000
4101310301113013200
5303144033402414
612443050244000
71245165345435
oct216461270740
954354305560
1019138965984
1181314a1466
123861726600
131a601a5258
14cd7bcdb8c
15770389b09
hex474c571e0

19138965984 has 96 divisors (see below), whose sum is σ = 55849409280. Its totient is φ = 6376521600.

The previous prime is 19138965941. The next prime is 19138965991. The reversal of 19138965984 is 48956983191.

19138965984 is a `hidden beast` number, since 1 + 9 + 1 + 38 + 9 + 6 + 598 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2338219 + ... + 2346389.

It is an arithmetic number, because the mean of its divisors is an integer number (581764680).

Almost surely, 219138965984 is an apocalyptic number.

It is an amenable number.

19138965984 is an abundant number, since it is smaller than the sum of its proper divisors (36710443296).

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

19138965984 is a wasteful number, since it uses less digits than its factorization.

19138965984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10901 (or 10887 counting only the distinct ones).

The product of its digits is 16796160, while the sum is 63.

The spelling of 19138965984 in words is "nineteen billion, one hundred thirty-eight million, nine hundred sixty-five thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 2711 5422 8133 8171 10844 16266 16342 21688 24399 24513 32532 32684 43376 48798 49026 65064 65368 73197 73539 86752 97596 98052 130128 130736 146394 147078 195192 196104 220617 260256 261472 292788 294156 390384 392208 441234 585576 588312 780768 784416 882468 1171152 1176624 1764936 2342304 2353248 3529872 7059744 22151581 44303162 66454743 88606324 132909486 177212648 199364229 265818972 354425296 398728458 531637944 598092687 708850592 797456916 1063275888 1196185374 1594913832 2126551776 2392370748 3189827664 4784741496 6379655328 9569482992 19138965984