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2465025552 = 2432112236151
BaseRepresentation
bin1001001011101101…
…0100111000010000
320100210101021100200
42102323110320100
520022021304202
61044334015200
7115041241263
oct22273247020
96323337320
102465025552
111055496200
12589647500
13303905202
14195548cda
15e661ce1c
hex92ed4e10

2465025552 has 180 divisors, whose sum is σ = 7913785152. Its totient is φ = 714384000.

The previous prime is 2465025539. The next prime is 2465025571. The reversal of 2465025552 is 2555205642.

2465025552 is a `hidden beast` number, since 24 + 65 + 0 + 25 + 552 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 397677 + ... + 403827.

Almost surely, 22465025552 is an apocalyptic number.

2465025552 is a gapful number since it is divisible by the number (22) 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 2465025552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3956892576).

2465025552 is an abundant number, since it is smaller than the sum of its proper divisors (5448759600).

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

2465025552 is a wasteful number, since it uses less digits than its factorization.

2465025552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6210 (or 6190 counting only the distinct ones).

The product of its (nonzero) digits is 120000, while the sum is 36.

The square root of 2465025552 is about 49649.0236762013. The cubic root of 2465025552 is about 1350.8500457149.

The spelling of 2465025552 in words is "two billion, four hundred sixty-five million, twenty-five thousand, five hundred fifty-two".