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245478111552 = 263219101337659
BaseRepresentation
bin1110010010011110100…
…0101011100101000000
3212110121210101010022100
43210213220223211000
513010214344032202
6304434315510400
723510114343342
oct3444750534500
9773553333270
10245478111552
1195119aa3563
123b6aa158400
131a1c12c055b
14bc4a049292
1565bad5541c
hex3927a2b940

245478111552 has 336 divisors, whose sum is σ = 751342363200. Its totient is φ = 76408012800.

The previous prime is 245478111523. The next prime is 245478111553. The reversal of 245478111552 is 255111874542.

245478111552 is a `hidden beast` number, since 2 + 4 + 5 + 4 + 7 + 81 + 11 + 552 = 666.

It is a super-2 number, since 2×2454781115522 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 245478111498 and 245478111507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (245478111553) by changing a digit.

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, 372500599 + ... + 372501257.

Almost surely, 2245478111552 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 245478111552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375671181600).

245478111552 is an abundant number, since it is smaller than the sum of its proper divisors (505864251648).

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

245478111552 is a wasteful number, since it uses less digits than its factorization.

245478111552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1134 (or 1121 counting only the distinct ones).

The product of its digits is 448000, while the sum is 45.

The spelling of 245478111552 in words is "two hundred forty-five billion, four hundred seventy-eight million, one hundred eleven thousand, five hundred fifty-two".