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54576057528721 = 19250327732
BaseRepresentation
bin11000110100010111110101…
…00001011011000110010001
321011020102100021201110102201
430122023322201123012101
524123133231211404341
6312023521131243201
714331663403554061
oct1432137241330621
9234212307643381
1054576057528721
1116431637753203
1261552572a9501
13245b666a72a31
14d696d10893a1
156499ada5c331
hex31a2fa85b191

54576057528721 has 27 divisors (see below), whose sum is σ = 57789161195259. Its totient is φ = 51534088923312.

The previous prime is 54576057528697. The next prime is 54576057528781. The reversal of 54576057528721 is 12782575067545.

The square root of 54576057528721 is 7387561.

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., 3473060868225 + 51102996660496 = 1863615^2 + 7148636^2 .

It is not a de Polignac number, because 54576057528721 - 27 = 54576057528593 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (54576057528781) 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, 70602920091 + ... + 70602920863.

Almost surely, 254576057528721 is an apocalyptic number.

54576057528721 is the 7387561-st square number.

54576057528721 is the 3693781-st centered octagonal number.

It is an amenable number.

54576057528721 is a deficient number, since it is larger than the sum of its proper divisors (3213103666538).

54576057528721 is an frugal number, since it uses more digits than its factorization.

54576057528721 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2590 (or 1295 counting only the distinct ones).

The product of its (nonzero) digits is 164640000, while the sum is 64.

The spelling of 54576057528721 in words is "fifty-four trillion, five hundred seventy-six billion, fifty-seven million, five hundred twenty-eight thousand, seven hundred twenty-one".

Divisors: 1 19 361 503 773 9557 14687 181583 253009 279053 388819 597529 4807171 7387561 11353051 91336249 140363659 195575957 215707969 300557087 3715943183 5710584653 70602920477 108501108407 151180214761 2872424080459 54576057528721