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6139976164 = 22722921932
BaseRepresentation
bin1011011011111100…
…01001100111100100
3120211220110002212121
411231332021213210
5100033313214124
62453132555324
7305103636100
oct55576114744
916756402777
106139976164
112670946a73
121234322b44
1376b0982ba
14423648900
1525e0872e4
hex16df899e4

6139976164 has 81 divisors (see below), whose sum is σ = 13012528347. Its totient is φ = 2527515648.

The previous prime is 6139976153. The next prime is 6139976191. The reversal of 6139976164 is 4616799316.

The square root of 6139976164 is 78358.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 365192100 + 5774784064 = 19110^2 + 75992^2 .

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 26 ways as a sum of consecutive naturals, for example, 31813252 + ... + 31813444.

Almost surely, 26139976164 is an apocalyptic number.

6139976164 is the 78358-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6139976164

6139976164 is an abundant number, since it is smaller than the sum of its proper divisors (6872552183).

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

6139976164 is a wasteful number, since it uses less digits than its factorization.

6139976164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462 (or 231 counting only the distinct ones).

The product of its digits is 1469664, while the sum is 52.

The cubic root of 6139976164 is about 1831.1428620178.

The spelling of 6139976164 in words is "six billion, one hundred thirty-nine million, nine hundred seventy-six thousand, one hundred sixty-four".

Divisors: 1 2 4 7 14 28 29 49 58 98 116 193 196 203 386 406 772 812 841 1351 1421 1682 2702 2842 3364 5404 5597 5684 5887 9457 11194 11774 18914 22388 23548 37249 37828 39179 41209 74498 78358 82418 148996 156716 162313 164836 260743 274253 324626 521486 548506 649252 1042972 1080221 1097012 1136191 1825201 2160442 2272382 3650402 4320884 4544764 7300804 7561547 7953337 15123094 15906674 30246188 31326409 31813348 52930829 62652818 105861658 125305636 211723316 219284863 438569726 877139452 1534994041 3069988082 6139976164