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6386813420 = 22513234672287
BaseRepresentation
bin1011111001010111…
…10000100111101100
3121111002220201221012
411330223300213230
5101040011012140
62533431324352
7314162006201
oct57453604754
917432821835
106386813420
11278820a4a9
1212a2b206b8
137aa271250
1444833dca8
15275a94265
hex17caf09ec

6386813420 has 96 divisors (see below), whose sum is σ = 15110903808. Its totient is φ = 2249862912.

The previous prime is 6386813401. The next prime is 6386813441. The reversal of 6386813420 is 243186836.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2791517 + ... + 2793803.

It is an arithmetic number, because the mean of its divisors is an integer number (157405248).

Almost surely, 26386813420 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6386813420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7555451904).

6386813420 is an abundant number, since it is smaller than the sum of its proper divisors (8724090388).

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

6386813420 is a wasteful number, since it uses less digits than its factorization.

6386813420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2799 (or 2797 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 41.

The square root of 6386813420 is about 79917.5413785985. The cubic root of 6386813420 is about 1855.3595174560.

The spelling of 6386813420 in words is "six billion, three hundred eighty-six million, eight hundred thirteen thousand, four hundred twenty".

Divisors: 1 2 4 5 10 13 20 23 26 46 52 65 92 115 130 230 260 299 460 467 598 934 1196 1495 1868 2287 2335 2990 4574 4670 5980 6071 9148 9340 10741 11435 12142 21482 22870 24284 29731 30355 42964 45740 52601 53705 59462 60710 105202 107410 118924 121420 139633 148655 210404 214820 263005 279266 297310 526010 558532 594620 683813 698165 1052020 1068029 1367626 1396330 2136058 2735252 2792660 3419065 4272116 5340145 6838130 10680290 13676260 13884377 21360580 24564667 27768754 49129334 55537508 69421885 98258668 122823335 138843770 245646670 277687540 319340671 491293340 638681342 1277362684 1596703355 3193406710 6386813420