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706422455648 = 257131633474289
BaseRepresentation
bin10100100011110100000…
…11110011110101100000
32111112101210110221121122
422101322003303311200
543033223122040043
61300305340511412
7102015543541010
oct12217203636540
92445353427548
10706422455648
11252657072688
12b4aab54b568
13517ccc0a360
1426296281c40
1513597d3c368
hexa47a0f3d60

706422455648 has 192 divisors, whose sum is σ = 1727583137280. Its totient is φ = 276884324352.

The previous prime is 706422455633. The next prime is 706422455657. The reversal of 706422455648 is 846554224607.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 706422455648.

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 31 ways as a sum of consecutive naturals, for example, 164703488 + ... + 164707776.

It is an arithmetic number, because the mean of its divisors is an integer number (8997828840).

Almost surely, 2706422455648 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 706422455648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (863791568640).

706422455648 is an abundant number, since it is smaller than the sum of its proper divisors (1021160681632).

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

706422455648 is a wasteful number, since it uses less digits than its factorization.

706422455648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4829 (or 4821 counting only the distinct ones).

The product of its (nonzero) digits is 12902400, while the sum is 53.

The spelling of 706422455648 in words is "seven hundred six billion, four hundred twenty-two million, four hundred fifty-five thousand, six hundred forty-eight".