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245485126656 = 21034721117219
BaseRepresentation
bin1110010010100000001…
…1011100010000000000
3212110122021120112020000
43210220003130100000
513010223143023111
6304435130120000
723510231101500
oct3445003342000
9773567515200
10245485126656
1195122a55070
123b6b0580000
131a1c28a85c3
14bc4ad53a00
1565bb78dc56
hex39280dc400

245485126656 has 1980 divisors, whose sum is σ = 1040225955120. Its totient is φ = 56853135360.

The previous prime is 245485126651. The next prime is 245485126657. The reversal of 245485126656 is 656621584542.

245485126656 is a `hidden beast` number, since 2 + 45 + 485 + 12 + 66 + 56 = 666.

245485126656 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (245485126651) by changing a digit.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 12920269815 + ... + 12920269833.

It is an arithmetic number, because the mean of its divisors is an integer number (525366644).

Almost surely, 2245485126656 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 245485126656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (520112977560).

245485126656 is an abundant number, since it is smaller than the sum of its proper divisors (794740828464).

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

245485126656 is a wasteful number, since it uses less digits than its factorization.

245485126656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 59 counting only the distinct ones).

The product of its digits is 13824000, while the sum is 54.

The spelling of 245485126656 in words is "two hundred forty-five billion, four hundred eighty-five million, one hundred twenty-six thousand, six hundred fifty-six".