Search a number
-
+
6978230189956 = 2231213723112
BaseRepresentation
bin110010110001011111011…
…1011100111111110000100
3220201010000212020001011101
41211202332323213332010
51403312403412034311
622501431002545444
71320106022635234
oct145427673477604
926633025201141
106978230189956
1122504a60248a3
12948517208284
133b80763a121c
141a1a68c95cc4
15c17be3deec1
hex658beee7f84

6978230189956 has 81 divisors (see below), whose sum is σ = 12752324973381. Its totient is φ = 3341138683200.

The previous prime is 6978230189951. The next prime is 6978230190023. The reversal of 6978230189956 is 6599810328796.

The square root of 6978230189956 is 2641634.

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., 4099045652100 + 2879184537856 = 2024610^2 + 1696816^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (6978230189951) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 22438039041 + ... + 22438039351.

Almost surely, 26978230189956 is an apocalyptic number.

6978230189956 is the 2641634-th square number.

It is an amenable number.

6978230189956 is a deficient number, since it is larger than the sum of its proper divisors (5774094783425).

6978230189956 is an equidigital number, since it uses as much as digits as its factorization.

6978230189956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 962 (or 481 counting only the distinct ones).

The product of its (nonzero) digits is 352719360, while the sum is 73.

The spelling of 6978230189956 in words is "six trillion, nine hundred seventy-eight billion, two hundred thirty million, one hundred eighty-nine thousand, nine hundred fifty-six".

Divisors: 1 2 4 31 62 124 137 274 311 548 622 961 1244 1922 3844 4247 8494 9641 16988 18769 19282 37538 38564 42607 75076 85214 96721 131657 170428 193442 263314 298871 386884 526628 581839 597742 1163678 1195484 1320817 2327356 2641634 2998351 5283268 5837159 5996702 11674318 11993404 13250777 18037009 23348636 26501554 36074018 40945327 53003108 72148036 81890654 92948881 163781308 180951929 185897762 361903858 371795524 410774087 723807716 821548174 1643096348 1815356449 3630712898 5609509799 7261425796 11219019598 12733996697 22438039196 25467993394 50935986788 56276049919 112552099838 225104199676 1744557547489 3489115094978 6978230189956