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5693035345920 = 21133513237289
BaseRepresentation
bin101001011011000001101…
…0110010111100000000000
3202011020201102101102212000
41102312003112113200000
51221233314022032140
620035202213104000
71125210503001546
oct122660326274000
922136642342760
105693035345920
1118a544804349a
1277b422028000
13323b0a652600
14159789ad1d96
159d150142a30
hex52d83597800

5693035345920 has 1728 divisors, whose sum is σ = 22774709412000. Its totient is φ = 1348167794688.

The previous prime is 5693035345889. The next prime is 5693035345931. The reversal of 5693035345920 is 295435303965.

It is a happy number.

5693035345920 is a `hidden beast` number, since 5 + 6 + 9 + 30 + 3 + 534 + 59 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 63966689236 + ... + 63966689324.

Almost surely, 25693035345920 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 5693035345920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11387354706000).

5693035345920 is an abundant number, since it is smaller than the sum of its proper divisors (17081674066080).

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

5693035345920 is a wasteful number, since it uses less digits than its factorization.

5693035345920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 13122000, while the sum is 54.

The spelling of 5693035345920 in words is "five trillion, six hundred ninety-three billion, thirty-five million, three hundred forty-five thousand, nine hundred twenty".