Search a number
-
+
530012161112000 = 26537591518631231
BaseRepresentation
bin111100010000010110001001…
…0100101101111011111000000
32120111121200000210112220101012
41320200230102211233133000
51023432204401221041000
65115124120411500052
7216432054304321130
oct17040542245573700
92514550023486335
10530012161112000
11143972993617306
124b53baa8457628
1319997c174573a8
1494c4a229a2ac0
154141c7516e735
hex1e20b1296f7c0

530012161112000 has 896 divisors, whose sum is σ = 1538642041896960. Its totient is φ = 177105830400000.

The previous prime is 530012161111991. The next prime is 530012161112129. The reversal of 530012161112000 is 211161210035.

It is a super-2 number, since 2×5300121611120002 (a number of 30 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 127 ways as a sum of consecutive naturals, for example, 430554151385 + ... + 430554152615.

It is an arithmetic number, because the mean of its divisors is an integer number (1717234421760).

Almost surely, 2530012161112000 is an apocalyptic number.

530012161112000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 530012161112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (769321020948480).

530012161112000 is an abundant number, since it is smaller than the sum of its proper divisors (1008629880784960).

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

530012161112000 is a wasteful number, since it uses less digits than its factorization.

530012161112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2338 (or 2318 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 23.

The spelling of 530012161112000 in words is "five hundred thirty trillion, twelve billion, one hundred sixty-one million, one hundred twelve thousand".