Search a number
-
+
5007701156832 = 2534117310922073
BaseRepresentation
bin100100011011111001000…
…1111111010001111100000
3122201201202022012102120000
41020313302033322033200
51124021232444004312
614352301155020000
71024536334341333
oct110676217721740
918651668172500
105007701156832
111660832830690
1268a638b9a600
132a42bb722cba
1413453449c61a
158a3dd88aadc
hex48df23fa3e0

5007701156832 has 480 divisors, whose sum is σ = 16436623563360. Its totient is φ = 1482899374080.

The previous prime is 5007701156827. The next prime is 5007701156849. The reversal of 5007701156832 is 2386511077005.

It is a happy number.

5007701156832 is a `hidden beast` number, since 5 + 0 + 0 + 7 + 70 + 11 + 568 + 3 + 2 = 666.

It is a super-2 number, since 2×50077011568322 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 226858948 + ... + 226881020.

It is an arithmetic number, because the mean of its divisors is an integer number (34242965757).

Almost surely, 25007701156832 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 5007701156832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8218311781680).

5007701156832 is an abundant number, since it is smaller than the sum of its proper divisors (11428922406528).

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

5007701156832 is a wasteful number, since it uses less digits than its factorization.

5007701156832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22288 (or 22271 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 45.

The spelling of 5007701156832 in words is "five trillion, seven billion, seven hundred one million, one hundred fifty-six thousand, eight hundred thirty-two".