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15200242407 = 3371031515171
BaseRepresentation
bin11100010100000000…
…10100101011100111
31110020022221022122000
432022000110223213
5222112230224112
610552145540343
71045450633350
oct161200245347
943208838560
1015200242407
1164a0160109
122b426446b3
13158318979c
14a42a6ad27
155de6ba7dc
hex38a014ae7

15200242407 has 64 divisors (see below), whose sum is σ = 26162872320. Its totient is φ = 8542908000.

The previous prime is 15200242367. The next prime is 15200242457. The reversal of 15200242407 is 70424200251.

15200242407 is a `hidden beast` number, since 15 + 2 + 0 + 0 + 242 + 407 = 666.

It is not a de Polignac number, because 15200242407 - 212 = 15200238311 is a prime.

It is a super-2 number, since 2×152002424072 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15200242457) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2936932 + ... + 2942102.

It is an arithmetic number, because the mean of its divisors is an integer number (408794880).

Almost surely, 215200242407 is an apocalyptic number.

15200242407 is a deficient number, since it is larger than the sum of its proper divisors (10962629913).

15200242407 is a wasteful number, since it uses less digits than its factorization.

15200242407 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5441 (or 5435 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 27.

Adding to 15200242407 its reverse (70424200251), we get a palindrome (85624442658).

The spelling of 15200242407 in words is "fifteen billion, two hundred million, two hundred forty-two thousand, four hundred seven".

Divisors: 1 3 7 9 21 27 63 103 151 189 309 453 721 927 1057 1359 2163 2781 3171 4077 5171 6489 9513 15513 15553 19467 28539 36197 46539 46659 108591 108871 139617 139977 325773 326613 419931 532613 780821 977319 979839 1597839 2342463 2939517 3728291 4793517 5465747 7027389 11184873 14380551 16397241 21082167 33554619 49191723 80424563 100663857 147575169 241273689 562971941 723821067 1688915823 2171463201 5066747469 15200242407