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20491390602648 = 2332725808217291
BaseRepresentation
bin1001010100011000001100…
…00011101100110110011000
32200112221212020120111222200
410222030012003230312120
510141212331443241043
6111325340452050200
74213311522152400
oct452140603546630
980487766514880
1020491390602648
116590393870909
12236b451303960
13b58439882644
1450bb07ca5800
15258064c467d3
hex12a3060ecd98

20491390602648 has 72 divisors (see below), whose sum is σ = 64558335200580. Its totient is φ = 5854683028320.

The previous prime is 20491390602607. The next prime is 20491390602721. The reversal of 20491390602648 is 84620609319402.

20491390602648 is a `hidden beast` number, since 2 + 0 + 491 + 3 + 90 + 6 + 0 + 2 + 64 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×204913906026482 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20491390602594 and 20491390602603.

It is a congruent number.

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 2904105118 + ... + 2904112173.

Almost surely, 220491390602648 is an apocalyptic number.

20491390602648 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

20491390602648 is an abundant number, since it is smaller than the sum of its proper divisors (44066944597932).

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

20491390602648 is a wasteful number, since it uses less digits than its factorization.

20491390602648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5808217317 (or 5808217303 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 20491390602648 in words is "twenty trillion, four hundred ninety-one billion, three hundred ninety million, six hundred two thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 84 98 126 147 168 196 252 294 392 441 504 588 882 1176 1764 3528 5808217291 11616434582 17424651873 23232869164 34849303746 40657521037 46465738328 52273955619 69698607492 81315042074 104547911238 121972563111 139397214984 162630084148 209095822476 243945126222 284602647259 325260168296 365917689333 418191644952 487890252444 569205294518 731835378666 853807941777 975780504888 1138410589036 1463670757332 1707615883554 2276821178072 2561423825331 2927341514664 3415231767108 5122847650662 6830463534216 10245695301324 20491390602648