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5003971875 = 3255723631
BaseRepresentation
bin1001010100100001…
…01000110100100011
3110220201212002221200
410222100220310203
540222004100000
62144312252243
7235001026200
oct45220506443
913821762850
105003971875
112138680151
12b779a1083
1361991c706
14356816ca7
151e448d500
hex12a428d23

5003971875 has 108 divisors (see below), whose sum is σ = 10512264672. Its totient is φ = 2286900000.

The previous prime is 5003971829. The next prime is 5003971901. The reversal of 5003971875 is 5781793005.

5003971875 is a `hidden beast` number, since 500 + 3 + 9 + 71 + 8 + 75 = 666.

It is not a de Polignac number, because 5003971875 - 29 = 5003971363 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 5003971875.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 1376310 + ... + 1379940.

It is an arithmetic number, because the mean of its divisors is an integer number (97335784).

Almost surely, 25003971875 is an apocalyptic number.

5003971875 is an abundant number, since it is smaller than the sum of its proper divisors (5508292797).

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

5003971875 is an equidigital number, since it uses as much as digits as its factorization.

5003971875 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3676 (or 3646 counting only the distinct ones).

The product of its (nonzero) digits is 264600, while the sum is 45.

The square root of 5003971875 is about 70738.7579407499. The cubic root of 5003971875 is about 1710.4286142161.

The spelling of 5003971875 in words is "five billion, three million, nine hundred seventy-one thousand, eight hundred seventy-five".

Divisors: 1 3 5 7 9 15 21 25 35 45 49 63 75 105 125 147 175 225 245 315 375 441 525 625 735 875 1125 1225 1575 1875 2205 2625 3125 3631 3675 4375 5625 6125 7875 9375 10893 11025 13125 18155 18375 21875 25417 28125 30625 32679 39375 54465 55125 65625 76251 90775 91875 127085 153125 163395 177919 196875 228753 272325 275625 381255 453875 459375 533757 635425 816975 889595 1143765 1361625 1378125 1601271 1906275 2269375 2668785 3177125 4084875 4447975 5718825 6808125 8006355 9531375 11346875 13343925 15885625 20424375 22239875 28594125 34040625 40031775 47656875 66719625 79428125 102121875 111199375 142970625 200158875 238284375 333598125 555996875 714853125 1000794375 1667990625 5003971875