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2026300200660 = 223456132040461
BaseRepresentation
bin11101011111001000111…
…001110101011011010100
321011201020100022110210000
4131133020321311123110
5231144330322410120
64150511445331300
7266252415343641
oct35371071653324
97151210273700
102026300200660
1171139270190a
12288863a06b30
13119105275c98
14701057aadc8
1537a96dce990
hex1d7c8e756d4

2026300200660 has 120 divisors (see below), whose sum is σ = 6366951520776. Its totient is φ = 539464976640.

The previous prime is 2026300200649. The next prime is 2026300200689. The reversal of 2026300200660 is 660020036202.

It is a happy number.

2026300200660 is a `hidden beast` number, since 2 + 0 + 2 + 630 + 0 + 20 + 0 + 6 + 6 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 15309607824 + 2010990592836 = 123732^2 + 1418094^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 27171 + ... + 2013290.

Almost surely, 22026300200660 is an apocalyptic number.

2026300200660 is a gapful number since it is divisible by the number (20) 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 2026300200660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3183475760388).

2026300200660 is an abundant number, since it is smaller than the sum of its proper divisors (4340651320116).

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

2026300200660 is a wasteful number, since it uses less digits than its factorization.

2026300200660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2041095 (or 2041084 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 2026300200660 its reverse (660020036202), we get a palindrome (2686320236862).

The spelling of 2026300200660 in words is "two trillion, twenty-six billion, three hundred million, two hundred thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 613 810 1226 1620 1839 2452 3065 3678 5517 6130 7356 9195 11034 12260 16551 18390 22068 27585 33102 36780 49653 55170 66204 82755 99306 110340 165510 198612 248265 331020 496530 993060 2040461 4080922 6121383 8161844 10202305 12242766 18364149 20404610 24485532 30606915 36728298 40809220 55092447 61213830 73456596 91820745 110184894 122427660 165277341 183641490 220369788 275462235 330554682 367282980 550924470 661109364 826386705 1101848940 1250802593 1652773410 2501605186 3305546820 3752407779 5003210372 6254012965 7504815558 11257223337 12508025930 15009631116 18762038895 22514446674 25016051860 33771670011 37524077790 45028893348 56286116685 67543340022 75048155580 101315010033 112572233370 135086680044 168858350055 202630020066 225144466740 337716700110 405260040132 506575050165 675433400220 1013150100330 2026300200660