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5297231009664 = 27321111315124499
BaseRepresentation
bin100110100010101101110…
…0100101001011110000000
3200202102002010200212111200
41031011123210221132000
51143242212114302124
615133303032341200
71054466215441416
oct115053344513600
920672063625450
105297231009664
1117625a78963a0
1271677bb44800
132c56b0332349
1414455cc572b6
1592bd6c6dbc9
hex4d15b929780

5297231009664 has 384 divisors, whose sum is σ = 16888042080000. Its totient is φ = 1580414976000.

The previous prime is 5297231009659. The next prime is 5297231009669. The reversal of 5297231009664 is 4669001327925.

5297231009664 is a `hidden beast` number, since 529 + 7 + 2 + 3 + 100 + 9 + 6 + 6 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (5297231009659) and next prime (5297231009669).

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×52972310096642 (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 5297231009664.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5297231009669) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 216210087 + ... + 216234585.

It is an arithmetic number, because the mean of its divisors is an integer number (43979276250).

Almost surely, 25297231009664 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 5297231009664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8444021040000).

5297231009664 is an abundant number, since it is smaller than the sum of its proper divisors (11590811070336).

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

5297231009664 is a wasteful number, since it uses less digits than its factorization.

5297231009664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24794 (or 24779 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 5297231009664 in words is "five trillion, two hundred ninety-seven billion, two hundred thirty-one million, nine thousand, six hundred sixty-four".