Search a number
-
+
5857331139072 = 29347236173197
BaseRepresentation
bin101010100111100010000…
…1001000101001000000000
3202201221210110220111020000
41111033010021011020000
51231431303232422242
620242453142120000
71143115061130210
oct125170411051000
922657713814200
105857331139072
111959097800626
127a7234420000
1333646189796a
141636d3d56240
15a2568cd2a4c
hex553c4245200

5857331139072 has 1600 divisors, whose sum is σ = 21589910014464. Its totient is φ = 1545067560960.

The previous prime is 5857331139031. The next prime is 5857331139109. The reversal of 5857331139072 is 2709311337585.

It is a happy number.

5857331139072 is a `hidden beast` number, since 5 + 8 + 573 + 31 + 1 + 39 + 0 + 7 + 2 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 29732645278 + ... + 29732645474.

Almost surely, 25857331139072 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 5857331139072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10794955007232).

5857331139072 is an abundant number, since it is smaller than the sum of its proper divisors (15732578875392).

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

5857331139072 is a wasteful number, since it uses less digits than its factorization.

5857331139072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 391 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 4762800, while the sum is 54.

The spelling of 5857331139072 in words is "five trillion, eight hundred fifty-seven billion, three hundred thirty-one million, one hundred thirty-nine thousand, seventy-two".