Search a number
-
+
521470111682200 = 2352231137937126397
BaseRepresentation
bin111011010010001100011100…
…0110001001000111010011000
32112101101001111200112102121111
41312210120320301020322120
51021322231242042312300
65045024021231150104
7214560654331215352
oct16644307061107230
92471331450472544
10521470111682200
1114117a26138a6aa
124a5a0499375334
13194c8560b9cb75
1492ab40668c0d2
15404497ac159ba
hex1da4638c48e98

521470111682200 has 192 divisors, whose sum is σ = 1276498599485760. Its totient is φ = 197726864670720.

The previous prime is 521470111682161. The next prime is 521470111682207. The reversal of 521470111682200 is 2286111074125.

It is a super-2 number, since 2×5214701116822002 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (521470111682207) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4125589402 + ... + 4125715798.

It is an arithmetic number, because the mean of its divisors is an integer number (6648430205655).

Almost surely, 2521470111682200 is an apocalyptic number.

521470111682200 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 521470111682200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (638249299742880).

521470111682200 is an abundant number, since it is smaller than the sum of its proper divisors (755028487803560).

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

521470111682200 is a wasteful number, since it uses less digits than its factorization.

521470111682200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134486 (or 134477 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 40.

The spelling of 521470111682200 in words is "five hundred twenty-one trillion, four hundred seventy billion, one hundred eleven million, six hundred eighty-two thousand, two hundred".