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20259619072 = 287112114871
BaseRepresentation
bin10010110111100100…
…010100000100000000
31221021221001021122221
4102313210110010000
5312442430302242
613150201540424
71315023630550
oct226744240400
957257037587
1020259619072
118657032740
123b14aa4714
131bab4076a4
14da2987160
157d8950167
hex4b7914100

20259619072 has 144 divisors (see below), whose sum is σ = 50668176384. Its totient is φ = 7854336000.

The previous prime is 20259619031. The next prime is 20259619103. The reversal of 20259619072 is 27091695202.

It is a super-2 number, since 2×202596190722 (a number of 21 digits) contains 22 as substring.

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, 4156797 + ... + 4161667.

It is an arithmetic number, because the mean of its divisors is an integer number (351862336).

Almost surely, 220259619072 is an apocalyptic number.

20259619072 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20259619072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25334088192).

20259619072 is an abundant number, since it is smaller than the sum of its proper divisors (30408557312).

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

20259619072 is a wasteful number, since it uses less digits than its factorization.

20259619072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5116 (or 5102 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 43.

The spelling of 20259619072 in words is "twenty billion, two hundred fifty-nine million, six hundred nineteen thousand, seventy-two".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 128 154 176 211 224 256 308 352 422 448 616 704 844 896 1232 1408 1477 1688 1792 2321 2464 2816 2954 3376 4642 4871 4928 5908 6752 9284 9742 9856 11816 13504 16247 18568 19484 19712 23632 27008 32494 34097 37136 38968 47264 53581 54016 64988 68194 74272 77936 94528 107162 129976 136388 148544 155872 189056 214324 259952 272776 297088 311744 375067 378112 428648 519904 545552 594176 623488 750134 857296 1027781 1039808 1091104 1246976 1500268 1714592 2055562 2079616 2182208 3000536 3429184 4111124 4159232 4364416 6001072 6858368 7194467 8222248 8728832 11305591 12002144 13716736 14388934 16444496 22611182 24004288 28777868 32888992 45222364 48008576 57555736 65777984 79139137 90444728 96017152 115111472 131555968 158278274 180889456 230222944 263111936 316556548 361778912 460445888 633113096 723557824 920891776 1266226192 1447115648 1841783552 2532452384 2894231296 5064904768 10129809536 20259619072