Search a number
-
+
5692448931840 = 215335111947131
BaseRepresentation
bin101001011010110000001…
…1001011000000000000000
3202011012012112221111222000
41102311200121120000000
51221231113411304330
620035024104144000
71125160122365526
oct122654031300000
922135175844860
105692448931840
1118a5177024960
1277b299768000
13323a46002828
14159731c84316
159d11890a560
hex52d60658000

5692448931840 has 2048 divisors, whose sum is σ = 23917234176000. Its totient is φ = 1269773107200.

The previous prime is 5692448931823. The next prime is 5692448931877. The reversal of 5692448931840 is 481398442965.

5692448931840 is a `hidden beast` number, since 5 + 6 + 9 + 2 + 448 + 9 + 3 + 184 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2048).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 43453808575 + ... + 43453808705.

It is an arithmetic number, because the mean of its divisors is an integer number (11678337000).

Almost surely, 25692448931840 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 5692448931840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11958617088000).

5692448931840 is an abundant number, since it is smaller than the sum of its proper divisors (18224785244160).

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

5692448931840 is a wasteful number, since it uses less digits than its factorization.

5692448931840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 59719680, while the sum is 63.

The spelling of 5692448931840 in words is "five trillion, six hundred ninety-two billion, four hundred forty-eight million, nine hundred thirty-one thousand, eight hundred forty".