Search a number
-
+
54397225216 = 2812713912037
BaseRepresentation
bin110010101010010100…
…111100100100000000
312012102000222100122001
4302222110330210000
51342401142201331
640553441153344
73634004533225
oct625224744400
9165360870561
1054397225216
11210848a7484
12a66162b854
13518ba70a39
1428c072594c
151635931561
hexcaa53c900

54397225216 has 72 divisors (see below), whose sum is σ = 110233410560. Its totient is φ = 26788091904.

The previous prime is 54397225213. The next prime is 54397225217. The reversal of 54397225216 is 61252279345.

It is a super-2 number, since 2×543972252162 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (54397225213) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4513150 + ... + 4525186.

Almost surely, 254397225216 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 54397225216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55116705280).

54397225216 is an abundant number, since it is smaller than the sum of its proper divisors (55836185344).

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

54397225216 is a wasteful number, since it uses less digits than its factorization.

54397225216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12319 (or 12305 counting only the distinct ones).

The product of its digits is 907200, while the sum is 46.

The spelling of 54397225216 in words is "fifty-four billion, three hundred ninety-seven million, two hundred twenty-five thousand, two hundred sixteen".

Divisors: 1 2 4 8 16 32 64 127 128 139 254 256 278 508 556 1016 1112 2032 2224 4064 4448 8128 8896 12037 16256 17653 17792 24074 32512 35306 35584 48148 70612 96296 141224 192592 282448 385184 564896 770368 1129792 1528699 1540736 1673143 2259584 3057398 3081472 3346286 4519168 6114796 6692572 12229592 13385144 24459184 26770288 48918368 53540576 97836736 107081152 195673472 212489161 214162304 391346944 424978322 428324608 849956644 1699913288 3399826576 6799653152 13599306304 27198612608 54397225216