Search a number
-
+
5736535234560 = 2113251310147407
BaseRepresentation
bin101001101111010010000…
…1001010001100000000000
3202022102000000002201222200
41103132210021101200000
51222441411010001220
620111154454433200
71131310455646404
oct123364411214000
922272000081880
105736535234560
11191193a652689
12787942062800
13327c508328a0
1415b91502d104
159e349013890
hex537a4251800

5736535234560 has 576 divisors, whose sum is σ = 21623617491840. Its totient is φ = 1398059827200.

The previous prime is 5736535234559. The next prime is 5736535234589. The reversal of 5736535234560 is 654325356375.

5736535234560 is a `hidden beast` number, since 5 + 7 + 3 + 6 + 53 + 5 + 23 + 4 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a junction number, because it is equal to n+sod(n) for n = 5736535234497 and 5736535234506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 120982377 + ... + 121029783.

It is an arithmetic number, because the mean of its divisors is an integer number (37541002590).

Almost surely, 25736535234560 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 5736535234560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10811808745920).

5736535234560 is an abundant number, since it is smaller than the sum of its proper divisors (15887082257280).

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

5736535234560 is a wasteful number, since it uses less digits than its factorization.

5736535234560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47554 (or 47531 counting only the distinct ones).

The product of its (nonzero) digits is 34020000, while the sum is 54.

The spelling of 5736535234560 in words is "five trillion, seven hundred thirty-six billion, five hundred thirty-five million, two hundred thirty-four thousand, five hundred sixty".