Search a number
-
+
26041245655040 = 213572112157683
BaseRepresentation
bin1011110101111001100110…
…01100100110000000000000
310102012112000011222102112022
411322330303030212000000
511403124432341430130
6131215103314421012
75325263225562200
oct572746314460000
9112175004872468
1026041245655040
118330037307600
122b06b74591768
13116b8a97b4075
1466058dc30400
153025d4d5d7e5
hex17af33326000

26041245655040 has 1008 divisors, whose sum is σ = 80534945097936. Its totient is φ = 8053244559360.

The previous prime is 26041245655021. The next prime is 26041245655049. The reversal of 26041245655040 is 4055654214062.

It is a super-2 number, since 2×260412456550402 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 26041245654982 and 26041245655000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26041245655049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 38127738539 + ... + 38127739221.

It is an arithmetic number, because the mean of its divisors is an integer number (79895778867).

Almost surely, 226041245655040 is an apocalyptic number.

26041245655040 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 26041245655040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40267472548968).

26041245655040 is an abundant number, since it is smaller than the sum of its proper divisors (54493699442896).

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

26041245655040 is a wasteful number, since it uses less digits than its factorization.

26041245655040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 907 (or 865 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 44.

The spelling of 26041245655040 in words is "twenty-six trillion, forty-one billion, two hundred forty-five million, six hundred fifty-five thousand, forty".