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20981270868 = 22317833373677
BaseRepresentation
bin10011100010100101…
…001100100101010100
32000011012221222211020
4103202211030211110
5320432201131433
613345541241140
71341635600625
oct234245144524
960135858736
1020981270868
118997420388
1240967031b0
131c94a87c9c
141030759a4c
1582be9ccb3
hex4e294c954

20981270868 has 96 divisors (see below), whose sum is σ = 52630591104. Its totient is φ = 6481993728.

The previous prime is 20981270857. The next prime is 20981270873. The reversal of 20981270868 is 86807218902.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 20981270868.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5704246 + ... + 5707922.

It is an arithmetic number, because the mean of its divisors is an integer number (548235324).

Almost surely, 220981270868 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 20981270868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26315295552).

20981270868 is an abundant number, since it is smaller than the sum of its proper divisors (31649320236).

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

20981270868 is a wasteful number, since it uses less digits than its factorization.

20981270868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4121 (or 4119 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 51.

The spelling of 20981270868 in words is "twenty billion, nine hundred eighty-one million, two hundred seventy thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 12 17 34 51 68 83 102 166 204 249 332 337 498 674 996 1011 1348 1411 2022 2822 3677 4044 4233 5644 5729 7354 8466 11031 11458 14708 16932 17187 22062 22916 27971 34374 44124 55942 62509 68748 83913 111884 125018 167826 187527 250036 305191 335652 375054 475507 610382 750108 915573 951014 1220764 1239149 1426521 1831146 1902028 2478298 2853042 3662292 3717447 4956596 5188247 5706084 7434894 10376494 14869788 15564741 20752988 21065533 31129482 42131066 62258964 63196599 84262132 102849367 126393198 205698734 252786396 308548101 411397468 617096202 1234192404 1748439239 3496878478 5245317717 6993756956 10490635434 20981270868