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26143666840200 = 233527131372134897
BaseRepresentation
bin1011111000111000010111…
…11110011010001010001000
310102120022101002111201102110
411330130023332122022020
511411314212202341300
6131334122412102320
75335550302360440
oct574341376321210
9112508332451373
1026143666840200
11836a515404978
122b229991649a0
13117844cab9140
14665508667120
153050cb906550
hex17c70bf9a288

26143666840200 has 384 divisors, whose sum is σ = 99758272561920. Its totient is φ = 5515466342400.

The previous prime is 26143666840099. The next prime is 26143666840211. The reversal of 26143666840200 is 204866634162.

It is a self number, because there is not a number n which added to its sum of digits gives 26143666840200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 749149152 + ... + 749184048.

It is an arithmetic number, because the mean of its divisors is an integer number (259787168130).

Almost surely, 226143666840200 is an apocalyptic number.

26143666840200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26143666840200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49879136280960).

26143666840200 is an abundant number, since it is smaller than the sum of its proper divisors (73614605721720).

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

26143666840200 is a wasteful number, since it uses less digits than its factorization.

26143666840200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48657 (or 48648 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 48.

The spelling of 26143666840200 in words is "twenty-six trillion, one hundred forty-three billion, six hundred sixty-six million, eight hundred forty thousand, two hundred".