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5123265840 = 24325711231271
BaseRepresentation
bin1001100010101111…
…01101010100110000
3111020001022212111200
410301113231110300
540443024001330
62204213211200
7240650020050
oct46127552460
914201285450
105123265840
112199a4a500
12bab930b00
1363855a164
143685cb560
151eeba4a60
hex1315ed530

5123265840 has 720 divisors, whose sum is σ = 22393233408. Its totient is φ = 1026432000.

The previous prime is 5123265817. The next prime is 5123265881. The reversal of 5123265840 is 485623215.

5123265840 is a `hidden beast` number, since 51 + 2 + 3 + 26 + 584 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a junction number, because it is equal to n+sod(n) for n = 5123265795 and 5123265804.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 18904905 + ... + 18905175.

Almost surely, 25123265840 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 5123265840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11196616704).

5123265840 is an abundant number, since it is smaller than the sum of its proper divisors (17269967568).

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

5123265840 is a wasteful number, since it uses less digits than its factorization.

5123265840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 5123265840 is about 71576.9923928073. The cubic root of 5123265840 is about 1723.9141345003.

The spelling of 5123265840 in words is "five billion, one hundred twenty-three million, two hundred sixty-five thousand, eight hundred forty".