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55460442405 = 3517282115583
BaseRepresentation
bin110011101001101100…
…110011000100100101
312022011010121101102110
4303221230303010211
51402040333124110
641251141431233
74002234660624
oct635154630445
9168133541373
1055460442405
112157aa79275
12a8b970b519
1352cb113334
142981a0b6bb
151698e4da20
hexce9b33125

55460442405 has 48 divisors (see below), whose sum is σ = 94384433664. Its totient is φ = 27803274240.

The previous prime is 55460442403. The next prime is 55460442437. The reversal of 55460442405 is 50424406455.

55460442405 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 55460442405 - 21 = 55460442403 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55460442403) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3551244 + ... + 3566826.

It is an arithmetic number, because the mean of its divisors is an integer number (1966342368).

Almost surely, 255460442405 is an apocalyptic number.

It is an amenable number.

55460442405 is a deficient number, since it is larger than the sum of its proper divisors (38923991259).

55460442405 is a wasteful number, since it uses less digits than its factorization.

55460442405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16446 (or 16429 counting only the distinct ones).

The product of its (nonzero) digits is 384000, while the sum is 39.

The spelling of 55460442405 in words is "fifty-five billion, four hundred sixty million, four hundred forty-two thousand, four hundred five".

Divisors: 1 3 5 15 17 51 85 255 289 821 867 1445 2463 4105 4335 12315 13957 15583 41871 46749 69785 77915 209355 233745 237269 264911 711807 794733 1186345 1324555 3559035 3973665 4503487 12793643 13510461 22517435 38380929 63968215 67552305 191904645 217491931 652475793 1087459655 3262378965 3697362827 11092088481 18486814135 55460442405