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20048880096 = 2532717584993
BaseRepresentation
bin10010101011000000…
…011010000111100000
31220202020111122010200
4102223000122013200
5312030003130341
613113233025200
71306554445320
oct225300320740
956666448120
1020048880096
1185590853a3
123a763b5200
131b7686037b
14d829ab280
157c51c3db6
hex4ab01a1e0

20048880096 has 144 divisors (see below), whose sum is σ = 68991852384. Its totient is φ = 5391286272.

The previous prime is 20048880091. The next prime is 20048880107. The reversal of 20048880096 is 69008884002.

It is a happy number.

20048880096 is a `hidden beast` number, since 2 + 0 + 0 + 488 + 80 + 0 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20048880091) 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 23 ways as a sum of consecutive naturals, for example, 258225 + ... + 326768.

It is an arithmetic number, because the mean of its divisors is an integer number (479110086).

Almost surely, 220048880096 is an apocalyptic number.

It is an amenable number.

20048880096 is an abundant number, since it is smaller than the sum of its proper divisors (48942972288).

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

20048880096 is a wasteful number, since it uses less digits than its factorization.

20048880096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 585033 (or 585022 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 20048880096 in words is "twenty billion, forty-eight million, eight hundred eighty thousand, ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 17 18 21 24 28 32 34 36 42 48 51 56 63 68 72 84 96 102 112 119 126 136 144 153 168 204 224 238 252 272 288 306 336 357 408 476 504 544 612 672 714 816 952 1008 1071 1224 1428 1632 1904 2016 2142 2448 2856 3808 4284 4896 5712 8568 11424 17136 34272 584993 1169986 1754979 2339972 3509958 4094951 4679944 5264937 7019916 8189902 9359888 9944881 10529874 12284853 14039832 16379804 18719776 19889762 21059748 24569706 28079664 29834643 32759608 36854559 39779524 42119496 49139412 56159328 59669286 65519216 69614167 73709118 79559048 84238992 89503929 98278824 119338572 131038432 139228334 147418236 159118096 168477984 179007858 196557648 208842501 238677144 278456668 294836472 318236192 358015716 393115296 417685002 477354288 556913336 589672944 626527503 716031432 835370004 954708576 1113826672 1179345888 1253055006 1432062864 1670740008 2227653344 2506110012 2864125728 3341480016 5012220024 6682960032 10024440048 20048880096