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5693451120 = 243557243139
BaseRepresentation
bin1010100110101101…
…10010101101110000
3112200210020021200000
411103112302231300
543130010413440
62340542230000
7261042351600
oct52326625560
915623207600
105693451120
112461894105
12112a885300
136c97171b6
143c0212c00
15234c83730
hex1535b2b70

5693451120 has 720 divisors, whose sum is σ = 23772228480. Its totient is φ = 1261951488.

The previous prime is 5693451107. The next prime is 5693451131. The reversal of 5693451120 is 211543965.

5693451120 is a `hidden beast` number, since 56 + 93 + 4 + 511 + 2 + 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 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, 40960011 + ... + 40960149.

It is an arithmetic number, because the mean of its divisors is an integer number (33016984).

Almost surely, 25693451120 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 5693451120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11886114240).

5693451120 is an abundant number, since it is smaller than the sum of its proper divisors (18078777360).

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

5693451120 is a wasteful number, since it uses less digits than its factorization.

5693451120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 5693451120 is about 75454.9608707075. The cubic root of 5693451120 is about 1785.6316103925.

The spelling of 5693451120 in words is "five billion, six hundred ninety-three million, four hundred fifty-one thousand, one hundred twenty".