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642368540250 = 232534722392713
BaseRepresentation
bin10010101100100000010…
…01100000111001011010
32021102001202201220101200
421112100021200321122
541011032321242000
61211033335055030
764260330333663
oct11262011407132
92242052656350
10642368540250
11228477326a18
12a45b3b11476
1348762632178
142313b24236a
1511a99764500
hex9590260e5a

642368540250 has 192 divisors, whose sum is σ = 1775367659520. Its totient is φ = 167516985600.

The previous prime is 642368540221. The next prime is 642368540269. The reversal of 642368540250 is 52045863246.

642368540250 is a `hidden beast` number, since 6 + 4 + 23 + 68 + 540 + 25 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 642368540196 and 642368540205.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 236772894 + ... + 236775606.

It is an arithmetic number, because the mean of its divisors is an integer number (9246706560).

Almost surely, 2642368540250 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 642368540250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (887683829760).

642368540250 is an abundant number, since it is smaller than the sum of its proper divisors (1132999119270).

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

642368540250 is a wasteful number, since it uses less digits than its factorization.

642368540250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5022 (or 5009 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 45.

The spelling of 642368540250 in words is "six hundred forty-two billion, three hundred sixty-eight million, five hundred forty thousand, two hundred fifty".