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20224644048 = 24327171180243
BaseRepresentation
bin10010110101011110…
…111001001111010000
31221012111020100221200
4102311132321033100
5312410002102143
613142512151200
71314120431550
oct226536711720
957174210850
1020224644048
118639314464
123b05238500
131ba40b00cb
14d9c081160
157d58421d3
hex4b57b93d0

20224644048 has 120 divisors (see below), whose sum is σ = 68491919808. Its totient is φ = 5438555136.

The previous prime is 20224643953. The next prime is 20224644049. The reversal of 20224644048 is 84044642202.

It is a happy number.

20224644048 is a `hidden beast` number, since 2 + 0 + 2 + 2 + 4 + 644 + 0 + 4 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20224644049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 572986 + ... + 607257.

Almost surely, 220224644048 is an apocalyptic number.

20224644048 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

20224644048 is an abundant number, since it is smaller than the sum of its proper divisors (48267275760).

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

20224644048 is a wasteful number, since it uses less digits than its factorization.

20224644048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1180281 (or 1180272 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 36.

The spelling of 20224644048 in words is "twenty billion, two hundred twenty-four million, six hundred forty-four thousand, forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 17 18 21 24 28 34 36 42 48 51 56 63 68 72 84 102 112 119 126 136 144 153 168 204 238 252 272 306 336 357 408 476 504 612 714 816 952 1008 1071 1224 1428 1904 2142 2448 2856 4284 5712 8568 17136 1180243 2360486 3540729 4720972 7081458 8261701 9441944 10622187 14162916 16523402 18883888 20064131 21244374 24785103 28325832 33046804 40128262 42488748 49570206 56651664 60192393 66093608 74355309 80256524 84977496 99140412 120384786 132187216 140448917 148710618 160513048 169954992 180577179 198280824 240769572 280897834 297421236 321026096 361154358 396561648 421346751 481539144 561795668 594842472 722308716 842693502 963078288 1123591336 1189684944 1264040253 1444617432 1685387004 2247182672 2528080506 2889234864 3370774008 5056161012 6741548016 10112322024 20224644048