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54457356321 = 38432672
BaseRepresentation
bin110010101101111010…
…010101000000100001
312012120020010100000000
4302231322111000201
51343012040400241
641003430050213
73635334614454
oct625572250041
9165506110000
1054457356321
1121105837905
12a6797a9969
13519b365584
1428c86d949b
15163ad5ceb6
hexcade95021

54457356321 has 81 divisors (see below), whose sum is σ = 84892412241. Its totient is φ = 34931341368.

The previous prime is 54457356319. The next prime is 54457356361. The reversal of 54457356321 is 12365375445.

The square root of 54457356321 is 233361.

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

54457356321 is a `hidden beast` number, since 5 + 4 + 4 + 5 + 7 + 3 + 5 + 632 + 1 = 666.

It is a tau number, because it is divible by the number of its divisors (81).

It is not a de Polignac number, because 54457356321 - 21 = 54457356319 is a prime.

It is not an unprimeable number, because it can be changed into a prime (54457356311) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 812796330 + ... + 812796396.

Almost surely, 254457356321 is an apocalyptic number.

54457356321 is the 233361-st square number.

54457356321 is the 116681-st centered octagonal number.

It is an amenable number.

54457356321 is a deficient number, since it is larger than the sum of its proper divisors (30435055920).

54457356321 is an frugal number, since it uses more digits than its factorization.

54457356321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 113 counting only the distinct ones).

The product of its digits is 1512000, while the sum is 45.

The spelling of 54457356321 in words is "fifty-four billion, four hundred fifty-seven million, three hundred fifty-six thousand, three hundred twenty-one".

Divisors: 1 3 9 27 43 67 81 129 201 243 387 603 729 1161 1809 1849 2187 2881 3483 4489 5427 5547 6561 8643 10449 13467 16281 16641 25929 31347 40401 48843 49923 77787 94041 121203 123883 146529 149769 193027 233361 282123 363609 371649 439587 449307 579081 700083 1090827 1114947 1347921 1737243 2100249 3272481 3344841 4043763 5211729 6300747 8300161 9817443 10034523 12131289 15635187 18902241 24900483 29452329 30103569 46905561 74701449 90310707 140716683 224104347 270932121 422150049 672313041 812796363 1266450147 2016939123 6050817369 18152452107 54457356321