Search a number
-
+
2842474609296 = 243272200712
BaseRepresentation
bin101001010111010000101…
…100000111101010010000
3101001201220221110022020100
4221113100230013222100
5333032341444444141
610013451555412400
7412235112346200
oct51272054075220
911051827408210
102842474609296
119a65398a5173
1239aa82bb4100
1317807617274a
149b80dd04400
154de151690b6
hex295d0b07a90

2842474609296 has 135 divisors (see below), whose sum is σ = 9254214510723. Its totient is φ = 812095139520.

The previous prime is 2842474609279. The next prime is 2842474609297. The reversal of 2842474609296 is 6929064742482.

The square root of 2842474609296 is 1685964.

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

2842474609296 is a `hidden beast` number, since 2 + 8 + 42 + 47 + 460 + 9 + 2 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (2842474609297) 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, 141610941 + ... + 141631011.

Almost surely, 22842474609296 is an apocalyptic number.

2842474609296 is the 1685964-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2842474609296

2842474609296 is an abundant number, since it is smaller than the sum of its proper divisors (6411739901427).

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

2842474609296 is an frugal number, since it uses more digits than its factorization.

2842474609296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40170 (or 20083 counting only the distinct ones).

The product of its (nonzero) digits is 83607552, while the sum is 63.

The spelling of 2842474609296 in words is "two trillion, eight hundred forty-two billion, four hundred seventy-four million, six hundred nine thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 49 56 63 72 84 98 112 126 144 147 168 196 252 294 336 392 441 504 588 784 882 1008 1176 1764 2352 3528 7056 20071 40142 60213 80284 120426 140497 160568 180639 240852 280994 321136 361278 421491 481704 561988 722556 842982 963408 983479 1123976 1264473 1445112 1685964 1966958 2247952 2528946 2890224 2950437 3371928 3933916 5057892 5900874 6743856 7867832 8851311 10115784 11801748 15735664 17702622 20231568 23603496 35405244 47206992 70810488 141620976 402845041 805690082 1208535123 1611380164 2417070246 2819915287 3222760328 3625605369 4834140492 5639830574 6445520656 7251210738 8459745861 9668280984 11279661148 14502421476 16919491722 19336561968 19739407009 22559322296 25379237583 29004842952 33838983444 39478814018 45118644592 50758475166 58009685904 59218221027 67677966888 78957628036 101516950332 118436442054 135355933776 157915256072 177654663081 203033900664 236872884108 315830512144 355309326162 406067801328 473745768216 710618652324 947491536432 1421237304648 2842474609296