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20265099648 = 273195994637
BaseRepresentation
bin10010110111111001…
…001110000110000000
31221022022100201121020
4102313321032012000
5313000331142043
613150515225440
71315121335113
oct226771160600
957268321536
1020265099648
11865a136342
123b168a8280
131bac5a6131
14da35b257a
157d9183e83
hex4b7e4e180

20265099648 has 128 divisors (see below), whose sum is σ = 56769120000. Its totient is φ = 6387443712.

The previous prime is 20265099607. The next prime is 20265099677. The reversal of 20265099648 is 84699056202.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 20265099648.

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, 4367986 + ... + 4372622.

It is an arithmetic number, because the mean of its divisors is an integer number (443508750).

Almost surely, 220265099648 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 20265099648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28384560000).

20265099648 is an abundant number, since it is smaller than the sum of its proper divisors (36504020352).

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

20265099648 is a wasteful number, since it uses less digits than its factorization.

20265099648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5272 (or 5260 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 51.

The spelling of 20265099648 in words is "twenty billion, two hundred sixty-five million, ninety-nine thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 128 152 192 228 304 384 456 599 608 912 1198 1216 1797 1824 2396 2432 3594 3648 4637 4792 7188 7296 9274 9584 11381 13911 14376 18548 19168 22762 27822 28752 34143 37096 38336 45524 55644 57504 68286 74192 76672 88103 91048 111288 115008 136572 148384 176206 182096 222576 230016 264309 273144 296768 352412 364192 445152 528618 546288 593536 704824 728384 890304 1057236 1092576 1409648 1456768 1780608 2114472 2185152 2777563 2819296 4228944 4370304 5555126 5638592 8332689 8457888 11110252 11277184 16665378 16915776 22220504 33330756 33831552 44441008 52773697 66661512 88882016 105547394 133323024 158321091 177764032 211094788 266646048 316642182 355528064 422189576 533292096 633284364 844379152 1066584192 1266568728 1688758304 2533137456 3377516608 5066274912 6755033216 10132549824 20265099648