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12650883148864 = 26172261532
BaseRepresentation
bin1011100000011000001101…
…1001010110110001000000
31122210102010210112221101201
42320012003121112301000
53124233002041230424
642523422510510544
72443665451336222
oct270060331266100
948712123487351
1012650883148864
114038233803244
1215039ab205454
13709c860633ac
1431a43d9a4412
1516e129e31d44
hexb8183656c40

12650883148864 has 63 divisors (see below), whose sum is σ = 26668692895807. Its totient is φ = 5953129140224.

The previous prime is 12650883148861. The next prime is 12650883148877. The reversal of 12650883148864 is 46884138805621.

The square root of 12650883148864 is 3556808.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 210871987264 + 12440011161600 = 459208^2 + 3527040^2 .

It is a super-2 number, since 2×126508831488642 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12650883148796 and 12650883148805.

It is not an unprimeable number, because it can be changed into a prime (12650883148861) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 483712812 + ... + 483738964.

Almost surely, 212650883148864 is an apocalyptic number.

12650883148864 is the 3556808-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12650883148864

12650883148864 is an abundant number, since it is smaller than the sum of its proper divisors (14017809746943).

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

12650883148864 is an frugal number, since it uses more digits than its factorization.

12650883148864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52352 (or 26172 counting only the distinct ones).

The product of its (nonzero) digits is 70778880, while the sum is 64.

Multiplying 12650883148864 by its sum of digits (64), we get a square (809656521527296 = 284544642).

12650883148864 divided by its sum of digits (64) gives a square (197670049201 = 4446012).

The spelling of 12650883148864 in words is "twelve trillion, six hundred fifty billion, eight hundred eighty-three million, one hundred forty-eight thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 16 17 32 34 64 68 136 272 289 544 578 1088 1156 2312 4624 9248 18496 26153 52306 104612 209224 418448 444601 836896 889202 1673792 1778404 3556808 7113616 7558217 14227232 15116434 28454464 30232868 60465736 120931472 241862944 483725888 683979409 1367958818 2735917636 5471835272 10943670544 11627649953 21887341088 23255299906 43774682176 46510599812 93021199624 186042399248 197670049201 372084798496 395340098402 744169596992 790680196804 1581360393608 3162720787216 6325441574432 12650883148864