Search a number
-
+
6195578984464 = 245325921992
BaseRepresentation
bin101101000101000010101…
…0010001101100000010000
3210221021212112220101012111
41122022011102031200100
51303002021210000324
621102113143235104
71206421136311102
oct132120522154020
923837775811174
106195578984464
111a79591900201
128408b2a48a94
1335c31876b53c
14175c20a85572
15ab264221794
hex5a28548d810

6195578984464 has 135 divisors (see below), whose sum is σ = 12508434319773. Its totient is φ = 2972812182912.

The previous prime is 6195578984453. The next prime is 6195578984477. The reversal of 6195578984464 is 4644898755916.

The square root of 6195578984464 is 2489092.

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

It can be written as a sum of positive squares in only one way, i.e., 4466375024400 + 1729203960064 = 2113380^2 + 1314992^2 .

It is a Duffinian number.

Its product of digits (2090188800) is a multiple of the sum of its prime factors (630).

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 31133562637 + ... + 31133562835.

Almost surely, 26195578984464 is an apocalyptic number.

6195578984464 is the 2489092-nd square number.

It is an amenable number.

6195578984464 is an abundant number, since it is smaller than the sum of its proper divisors (6312855335309).

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

6195578984464 is an frugal number, since it uses more digits than its factorization.

6195578984464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 630 (or 313 counting only the distinct ones).

The product of its digits is 2090188800, while the sum is 76.

The spelling of 6195578984464 in words is "six trillion, one hundred ninety-five billion, five hundred seventy-eight million, nine hundred eighty-four thousand, four hundred sixty-four".

Divisors: 1 2 4 8 16 53 59 106 118 199 212 236 398 424 472 796 848 944 1592 2809 3127 3184 3481 5618 6254 6962 10547 11236 11741 12508 13924 21094 22472 23482 25016 27848 39601 42188 44944 46964 50032 55696 79202 84376 93928 158404 165731 168752 184493 187856 316808 331462 368986 558991 622273 633616 662924 692719 737972 1117982 1244546 1325848 1385438 1475944 2098853 2235964 2336459 2489092 2651696 2770876 2951888 4197706 4471928 4672918 4978184 5541752 8395412 8943856 9345836 9778129 9956368 11083504 16790824 18691672 19556258 32980469 33581648 36714107 37383344 39112516 65960938 73428214 78225032 111239209 123832327 131921876 137851081 146856428 156450064 222478418 247664654 263843752 275702162 293712856 444956836 495329308 527687504 551404324 587425712 889913672 990658616 1102808648 1779827344 1945847671 1981317232 2205617296 3891695342 6563113331 7306107293 7783390684 13126226662 14612214586 15566781368 26252453324 29224429172 31133562736 52504906648 58448858344 105009813296 116897716688 387223686529 774447373058 1548894746116 3097789492232 6195578984464