Search a number
-
+
471369101398272 = 283271129469119531
BaseRepresentation
bin110101100101101010010101…
…1110110001101000100000000
32021210222110001010201002012200
41223023110223312031010000
5443240402404424221042
64350303550432553200
7201200202516313440
oct15313245366150400
92253873033632180
10471369101398272
11127213571199220
1244a4a5a63b2800
1317302bb956c41c
148458559b9a120
1539765d3307c4c
hex1acb52bd8d100

471369101398272 has 864 divisors, whose sum is σ = 1753321099944960. Its totient is φ = 118180435968000.

The previous prime is 471369101398213. The next prime is 471369101398291. The reversal of 471369101398272 is 272893101963174.

471369101398272 is a `hidden beast` number, since 4 + 7 + 13 + 69 + 101 + 398 + 2 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 24134397147 + ... + 24134416677.

It is an arithmetic number, because the mean of its divisors is an integer number (2029306828640).

Almost surely, 2471369101398272 is an apocalyptic number.

471369101398272 is a gapful number since it is divisible by the number (42) 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 471369101398272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (876660549972480).

471369101398272 is an abundant number, since it is smaller than the sum of its proper divisors (1281951998546688).

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

471369101398272 is a wasteful number, since it uses less digits than its factorization.

471369101398272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24291 (or 24274 counting only the distinct ones).

The product of its (nonzero) digits is 27433728, while the sum is 63.

The spelling of 471369101398272 in words is "four hundred seventy-one trillion, three hundred sixty-nine billion, one hundred one million, three hundred ninety-eight thousand, two hundred seventy-two".