Search a number
-
+
5015423332305 = 335791513114367
BaseRepresentation
bin100100011111011111010…
…0001101010111111010001
3122202110200110211120212000
41020332332201222333101
51124133041333113210
614400015332024213
71025231602631421
oct110767641527721
918673613746760
105015423332305
1116640357a0391
12690033162069
132a4c4c5309b9
14134a67cc6481
158a6e17a7ac0
hex48fbe86afd1

5015423332305 has 64 divisors (see below), whose sum is σ = 9088971571200. Its totient is φ = 2623541918400.

The previous prime is 5015423332303. The next prime is 5015423332319. The reversal of 5015423332305 is 5032333245105.

5015423332305 is a `hidden beast` number, since 5 + 0 + 15 + 4 + 2 + 3 + 332 + 305 = 666.

5015423332305 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 5015423332305 - 21 = 5015423332303 is a prime.

It is a super-2 number, since 2×50154233323052 (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 5015423332305.

It is not an unprimeable number, because it can be changed into a prime (5015423332303) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 53232 + ... + 3167598.

It is an arithmetic number, because the mean of its divisors is an integer number (142015180800).

Almost surely, 25015423332305 is an apocalyptic number.

It is an amenable number.

5015423332305 is a deficient number, since it is larger than the sum of its proper divisors (4073548238895).

5015423332305 is a wasteful number, since it uses less digits than its factorization.

5015423332305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3114611 (or 3114605 counting only the distinct ones).

The product of its (nonzero) digits is 162000, while the sum is 36.

The spelling of 5015423332305 in words is "five trillion, fifteen billion, four hundred twenty-three million, three hundred thirty-two thousand, three hundred five".

Divisors: 1 3 5 9 15 27 45 79 135 151 237 395 453 711 755 1185 1359 2133 2265 3555 4077 6795 10665 11929 20385 35787 59645 107361 178935 322083 536805 1610415 3114367 9343101 15571835 28029303 46715505 84087909 140146515 246034993 420439545 470269417 738104979 1230174965 1410808251 2214314937 2351347085 3690524895 4232424753 6642944811 7054041255 11071574685 12697274259 21162123765 33214724055 37151283943 63486371295 111453851829 185756419715 334361555487 557269259145 1003084666461 1671807777435 5015423332305