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20245456525206 = 231141101523141637
BaseRepresentation
bin1001001101001110000110…
…01111101001011110010110
32122200110001200012221001210
410212213003033221132112
510123200143332301311
6111020345003202250
74156454200041303
oct446470317513626
978613050187053
1020245456525206
1164a6060457440
12232b856516386
13b3b1a4c86ab3
144ddc574880aa
1525196dd753a6
hex1269c33e9796

20245456525206 has 128 divisors (see below), whose sum is σ = 45784979799552. Its totient is φ = 5914719360000.

The previous prime is 20245456525117. The next prime is 20245456525207. The reversal of 20245456525206 is 60252565454202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20245456525207) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 142868220 + ... + 143009856.

It is an arithmetic number, because the mean of its divisors is an integer number (357695154684).

Almost surely, 220245456525206 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20245456525206, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22892489899776).

20245456525206 is an abundant number, since it is smaller than the sum of its proper divisors (25539523274346).

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

20245456525206 is a wasteful number, since it uses less digits than its factorization.

20245456525206 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142318.

The product of its (nonzero) digits is 5760000, while the sum is 48.

The spelling of 20245456525206 in words is "twenty trillion, two hundred forty-five billion, four hundred fifty-six million, five hundred twenty-five thousand, two hundred six".

Divisors: 1 2 3 6 11 22 33 41 66 82 101 123 202 246 303 451 523 606 902 1046 1111 1353 1569 2222 2706 3138 3333 4141 5753 6666 8282 11506 12423 17259 21443 24846 34518 42886 45551 52823 64329 91102 105646 128658 136653 141637 158469 235873 273306 283274 316938 424911 471746 581053 707619 849822 1162106 1415238 1558007 1743159 2165743 3116014 3486318 4331486 4674021 5807117 6497229 9348042 11614234 12994458 14305337 17421351 23823173 28610674 34842702 42916011 47646346 63878287 71469519 74076151 85832022 127756574 142939038 148152302 157358707 191634861 222228453 314717414 383269722 444456906 472076121 586518817 814837661 944152242 1173037634 1629675322 1759556451 2444512983 3037122191 3519112902 4889025966 6074244382 6451706987 7481691251 9111366573 12903413974 14963382502 18222733146 19355120961 22445073753 33408344101 38710241922 44890147506 66816688202 82298603761 100225032303 164597207522 200450064606 246895811283 306749341291 493791622566 613498682582 920248023873 1840496047746 3374242754201 6748485508402 10122728262603 20245456525206