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26012214000 = 2432536721569
BaseRepresentation
bin11000001110011100…
…101110001011110000
32111010211120101101100
4120032130232023300
5411233111322000
615541100004400
71610415112413
oct301634561360
974124511340
1026012214000
1110039242423
12505b530700
1325b715bc06
14138a993b7a
15a239b7a00
hex60e72e2f0

26012214000 has 240 divisors, whose sum is σ = 92212267680. Its totient is φ = 6832742400.

The previous prime is 26012213999. The next prime is 26012214017. The reversal of 26012214000 is 41221062.

26012214000 is a `hidden beast` number, since 2 + 601 + 2 + 21 + 40 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1195216 + ... + 1216784.

It is an arithmetic number, because the mean of its divisors is an integer number (384217782).

Almost surely, 226012214000 is an apocalyptic number.

26012214000 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 26012214000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46106133840).

26012214000 is an abundant number, since it is smaller than the sum of its proper divisors (66200053680).

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

26012214000 is a wasteful number, since it uses less digits than its factorization.

26012214000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21665 (or 21646 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 26012214000 its reverse (41221062), we get a palindrome (26053435062).

The spelling of 26012214000 in words is "twenty-six billion, twelve million, two hundred fourteen thousand".