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15200242434 = 235132405863
BaseRepresentation
bin11100010100000000…
…10100101100000010
31110020022221022200000
432022000110230002
5222112230224214
610552145540430
71045450633416
oct161200245402
943208838600
1015200242434
1164a0160133
122b42644716
1315831897c0
14a42a6ad46
155de6ba809
hex38a014b02

15200242434 has 48 divisors (see below), whose sum is σ = 36780848832. Its totient is φ = 4676995728.

The previous prime is 15200242367. The next prime is 15200242457. The reversal of 15200242434 is 43424200251.

15200242434 is a `hidden beast` number, since 1 + 5 + 200 + 2 + 424 + 34 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 15200242398 and 15200242407.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1196614 + ... + 1209249.

It is an arithmetic number, because the mean of its divisors is an integer number (766267684).

Almost surely, 215200242434 is an apocalyptic number.

15200242434 is an abundant number, since it is smaller than the sum of its proper divisors (21580606398).

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

15200242434 is a wasteful number, since it uses less digits than its factorization.

15200242434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2405893 (or 2405881 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 15200242434 its reverse (43424200251), we get a palindrome (58624442685).

The spelling of 15200242434 in words is "fifteen billion, two hundred million, two hundred forty-two thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 81 117 162 234 243 351 486 702 1053 2106 3159 6318 2405863 4811726 7217589 14435178 21652767 31276219 43305534 62552438 64958301 93828657 129916602 187657314 194874903 281485971 389749806 562971942 584624709 844457913 1169249418 1688915826 2533373739 5066747478 7600121217 15200242434