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104245006104225 = 32527412991602637
BaseRepresentation
bin10111101100111101101110…
…100011101111011010100001
3111200002201120201012220012100
4113230331232203233122201
5102130422233030313400
61005413254503521013
730646311300523260
oct2754755643573241
9450081521186170
10104245006104225
11302410713141a8
12b837469759169
1346223534cb23c
141ba56b16105d7
15c0b9b9e46100
hex5ecf6e8ef6a1

104245006104225 has 72 divisors (see below), whose sum is σ = 213393172865600. Its totient is φ = 47653676300160.

The previous prime is 104245006104223. The next prime is 104245006104229. The reversal of 104245006104225 is 522401600542401.

104245006104225 is a `hidden beast` number, since 1 + 0 + 4 + 24 + 500 + 6 + 104 + 2 + 25 = 666.

It is not a de Polignac number, because 104245006104225 - 21 = 104245006104223 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 104245006104225.

It is not an unprimeable number, because it can be changed into a prime (104245006104221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 64244607 + ... + 65847243.

Almost surely, 2104245006104225 is an apocalyptic number.

104245006104225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

104245006104225 is an abundant number, since it is smaller than the sum of its proper divisors (109148166761375).

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

104245006104225 is a wasteful number, since it uses less digits than its factorization.

104245006104225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1643959 (or 1643951 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

Adding to 104245006104225 its reverse (522401600542401), we get a palindrome (626646606646626).

The spelling of 104245006104225 in words is "one hundred four trillion, two hundred forty-five billion, six million, one hundred four thousand, two hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 35 45 63 75 105 175 225 315 525 1575 41299 123897 206495 289093 371691 619485 867279 1032475 1445465 1602637 1858455 2601837 3097425 4336395 4807911 7227325 8013185 9292275 11218459 13009185 14423733 21681975 24039555 33655377 40065925 56092295 65045925 72118665 100966131 120197775 168276885 280461475 360593325 504830655 841384425 2524153275 66187305463 198561916389 330936527315 463311138241 595685749167 992809581945 1389933414723 1654682636575 2316555691205 2978428745835 4169800244169 4964047909725 6949667073615 11582778456025 14892143729175 20849001220845 34748335368075 104245006104225