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20826311754941 = 7211197196136027
BaseRepresentation
bin1001011110001000000001…
…11010100000010010111101
32201201222100110210212221122
410233010000322200102331
510212204241302124231
6112143250414440325
74246436264034500
oct457040072402275
981658313725848
1020826311754941
1166aa431054750
1224043418030a5
13b80bb3489174
1451dddac6b137
15261b180ad77b
hex12f100ea04bd

20826311754941 has 24 divisors (see below), whose sum is σ = 26563094544096. Its totient is φ = 16145917660320.

The previous prime is 20826311754917. The next prime is 20826311754979. The reversal of 20826311754941 is 14945711362802.

It is not a de Polignac number, because 20826311754941 - 222 = 20826307560637 is a prime.

It is a super-2 number, since 2×208263117549412 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20826311757941) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 97961831 + ... + 98174196.

It is an arithmetic number, because the mean of its divisors is an integer number (1106795606004).

It is a 1-persistent number, because it is pandigital, but 2⋅20826311754941 = 41652623509882 is not.

Almost surely, 220826311754941 is an apocalyptic number.

It is an amenable number.

20826311754941 is a deficient number, since it is larger than the sum of its proper divisors (5736782789155).

20826311754941 is a wasteful number, since it uses less digits than its factorization.

20826311754941 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196136249 (or 196136242 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 53.

The spelling of 20826311754941 in words is "twenty trillion, eight hundred twenty-six billion, three hundred eleven million, seven hundred fifty-four thousand, nine hundred forty-one".

Divisors: 1 7 11 49 77 197 539 1379 2167 9653 15169 106183 196136027 1372952189 2157496297 9610665323 15102474079 38638797319 105717318553 270471581233 425026770509 1893301068631 2975187393563 20826311754941