Search a number
-
+
7272852161632 = 253791921433119
BaseRepresentation
bin110100111010101011111…
…0001010000010001100000
3221202021111120102220222021
41221311113301100101200
51423124300123133012
623245034022151224
71350306025242001
oct151652761202140
927667446386867
107272852161632
112354443495892
1299563b582514
13409a99c53645
141b2017a511a8
15c92b4874007
hex69d57c50460

7272852161632 has 96 divisors (see below), whose sum is σ = 14733005414400. Its totient is φ = 3531512452608.

The previous prime is 7272852161611. The next prime is 7272852161639. The reversal of 7272852161632 is 2361612582727.

It is a self number, because there is not a number n which added to its sum of digits gives 7272852161632.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7272852161639) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 2331788169 + ... + 2331791287.

It is an arithmetic number, because the mean of its divisors is an integer number (153468806400).

Almost surely, 27272852161632 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 7272852161632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7366502707200).

7272852161632 is an abundant number, since it is smaller than the sum of its proper divisors (7460153252768).

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

7272852161632 is a wasteful number, since it uses less digits than its factorization.

7272852161632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6228 (or 6220 counting only the distinct ones).

The product of its digits is 3386880, while the sum is 52.

The spelling of 7272852161632 in words is "seven trillion, two hundred seventy-two billion, eight hundred fifty-two million, one hundred sixty-one thousand, six hundred thirty-two".

Divisors: 1 2 4 8 16 32 37 74 148 296 592 919 1184 1838 2143 3119 3676 4286 6238 7352 8572 12476 14704 17144 24952 29408 34003 34288 49904 68006 68576 79291 99808 115403 136012 158582 230806 272024 317164 461612 544048 634328 923224 1088096 1268656 1846448 1969417 2537312 2866361 3692896 3938834 5732722 6684017 7877668 11465444 13368034 15755336 22930888 26736068 31510672 45861776 53472136 63021344 72868429 91723552 106055357 106944272 145736858 212110714 213888544 247308629 291473716 424221428 494617258 582947432 848442856 989234516 1165894864 1696885712 1978469032 2331789728 3393771424 3956938064 6142611623 7913876128 12285223246 24570446492 49140892984 98281785968 196563571936 227276630051 454553260102 909106520204 1818213040408 3636426080816 7272852161632