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4415117304 = 2331315978861
BaseRepresentation
bin1000001110010100…
…10101011111111000
3102101200211012100010
410013022111133320
533020232223204
62010035141520
7214260610053
oct40712253770
912350735303
104415117304
111966244a84
12a327448a0
13554926b60
142dc531a9a
151ac922d89
hex1072957f8

4415117304 has 64 divisors (see below), whose sum is σ = 11895639840. Its totient is φ = 1357493760.

The previous prime is 4415117299. The next prime is 4415117327. The reversal of 4415117304 is 4037115144.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 493834 + ... + 502694.

Almost surely, 24415117304 is an apocalyptic number.

It is an amenable number.

4415117304 is an abundant number, since it is smaller than the sum of its proper divisors (7480522536).

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

4415117304 is a wasteful number, since it uses less digits than its factorization.

4415117304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10480 (or 10476 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 4415117304 is about 66446.3490644896. The cubic root of 4415117304 is about 1640.5170519205.

The spelling of 4415117304 in words is "four billion, four hundred fifteen million, one hundred seventeen thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 312 1597 3194 4791 6388 8861 9582 12776 17722 19164 20761 26583 35444 38328 41522 53166 62283 70888 83044 106332 115193 124566 166088 212664 230386 249132 345579 460772 498264 691158 921544 1382316 2764632 14151017 28302034 42453051 56604068 84906102 113208136 169812204 183963221 339624408 367926442 551889663 735852884 1103779326 1471705768 2207558652 4415117304