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26103402000 = 2432531328581
BaseRepresentation
bin11000010011111000…
…100100111000010000
32111101012011012210200
4120103320210320100
5411424432331000
615554114255200
71612603153554
oct302370447020
974335135720
1026103402000
1110085765305
125085b87500
132600008800
141398b2d864
15a2b9cb500
hex613e24e10

26103402000 has 360 divisors, whose sum is σ = 98734571208. Its totient is φ = 6424704000.

The previous prime is 26103401971. The next prime is 26103402011. The reversal of 26103402000 is 20430162.

It is a happy number.

26103402000 is a `hidden beast` number, since 2 + 610 + 34 + 0 + 20 + 0 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 25041163536 + 1062238464 = 158244^2 + 32592^2 .

It is a tau number, because it is divible by the number of its divisors (360).

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3037710 + ... + 3046290.

Almost surely, 226103402000 is an apocalyptic number.

26103402000 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 26103402000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49367285604).

26103402000 is an abundant number, since it is smaller than the sum of its proper divisors (72631169208).

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

26103402000 is a wasteful number, since it uses less digits than its factorization.

26103402000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8636 (or 8604 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 26103402000 its reverse (20430162), we get a palindrome (26123832162).

The spelling of 26103402000 in words is "twenty-six billion, one hundred three million, four hundred two thousand".