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245255466816 = 263319127131449
BaseRepresentation
bin1110010001101001011…
…1010110111101000000
3212110001021102121011000
43210122113112331000
513004240344414231
6304400243452000
723501442033333
oct3443227267500
9773037377130
10245255466816
1195015354248
123b647687000
131a1871380c9
14bc2865061a
1565a65266e6
hex391a5d6f40

245255466816 has 448 divisors, whose sum is σ = 772485120000. Its totient is φ = 76082872320.

The previous prime is 245255466751. The next prime is 245255466829. The reversal of 245255466816 is 618664552542.

245255466816 is a `hidden beast` number, since 2 + 4 + 5 + 2 + 554 + 6 + 6 + 81 + 6 = 666.

245255466816 is digitally balanced in base 2, 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 a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 546225760 + ... + 546226208.

Almost surely, 2245255466816 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 245255466816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386242560000).

245255466816 is an abundant number, since it is smaller than the sum of its proper divisors (527229653184).

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

245255466816 is a wasteful number, since it uses less digits than its factorization.

245255466816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 747 (or 731 counting only the distinct ones).

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

The spelling of 245255466816 in words is "two hundred forty-five billion, two hundred fifty-five million, four hundred sixty-six thousand, eight hundred sixteen".