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361504225231 = 29157199339839
BaseRepresentation
bin1010100001010110101…
…01001011011111001111
31021120002211222101120221
411100223111023133033
521410330040201411
6434023414052211
735055261133342
oct5205325133717
91246084871527
10361504225231
1112a349790006
125a08b04a067
13281220ca2a6
14136d56b8459
15960bee3071
hex542b54b7cf

361504225231 has 16 divisors (see below), whose sum is σ = 376550150400. Its totient is φ = 346632668928.

The previous prime is 361504225133. The next prime is 361504225241. The reversal of 361504225231 is 132522405163.

It is a cyclic number.

It is not a de Polignac number, because 361504225231 - 215 = 361504192463 is a prime.

It is a super-3 number, since 3×3615042252313 (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (361504225241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9054210 + ... + 9094048.

It is an arithmetic number, because the mean of its divisors is an integer number (23534384400).

Almost surely, 2361504225231 is an apocalyptic number.

361504225231 is a deficient number, since it is larger than the sum of its proper divisors (15045925169).

361504225231 is a wasteful number, since it uses less digits than its factorization.

361504225231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42018.

The product of its (nonzero) digits is 43200, while the sum is 34.

The spelling of 361504225231 in words is "three hundred sixty-one billion, five hundred four million, two hundred twenty-five thousand, two hundred thirty-one".

Divisors: 1 29 157 1993 4553 39839 57797 312901 1155331 6254723 9074129 79399127 181386967 2302574683 12465662939 361504225231