Search a number
-
+
5126146416215 = 511254723936473
BaseRepresentation
bin100101010011000011000…
…1000101101111001010111
3200011001110221212000212122
41022212012020231321113
51132441321440304330
614522530312010155
71036231454415266
oct112460610557127
920131427760778
105126146416215
1116a6a94017100
126a959409095b
132b251678ccb6
1413a16d1325dd
158d5220d25e5
hex4a98622de57

5126146416215 has 48 divisors (see below), whose sum is σ = 6777667993824. Its totient is φ = 3719161205760.

The previous prime is 5126146416191. The next prime is 5126146416241.

5126146416215 is nontrivially palindromic in base 10.

5126146416215 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 5126146416215 - 28 = 5126146415959 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 791924219 + ... + 791930691.

It is an arithmetic number, because the mean of its divisors is an integer number (141201416538).

Almost surely, 25126146416215 is an apocalyptic number.

5126146416215 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

5126146416215 is a deficient number, since it is larger than the sum of its proper divisors (1651521577609).

5126146416215 is a wasteful number, since it uses less digits than its factorization.

5126146416215 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9440 (or 9429 counting only the distinct ones).

The product of its digits is 345600, while the sum is 44.

The spelling of 5126146416215 in words is "five trillion, one hundred twenty-six billion, one hundred forty-six million, four hundred sixteen thousand, two hundred fifteen".

Divisors: 1 5 11 55 121 547 605 2393 2735 6017 6473 11965 26323 30085 32365 66187 71203 131615 289553 330935 356015 783233 1308971 1447765 3540731 3916165 6544855 14398681 15489889 17703655 38948041 71993405 77449445 158385491 170388779 194740205 428428451 791927455 851943895 1874276569 2142142255 8472969283 9371382845 42364846415 93202662113 466013310565 1025229283243 5126146416215