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54350454132 = 223213407328513
BaseRepresentation
bin110010100111100010…
…100001110101110100
312012021202222010202200
4302213202201311310
51342302204013012
640545050504500
73632566144332
oct624742416564
9165252863680
1054350454132
1121060461697
12a649a35130
135182176240
1428b842cb52
1516317933dc
hexca78a1d74

54350454132 has 72 divisors (see below), whose sum is σ = 147995529864. Its totient is φ = 16718524416.

The previous prime is 54350454131. The next prime is 54350454149. The reversal of 54350454132 is 23145405345.

54350454132 is a `hidden beast` number, since 54 + 35 + 0 + 4 + 541 + 32 = 666.

54350454132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 3687647076 + 50662807056 = 60726^2 + 225084^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54350454131) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1891908 + ... + 1920420.

Almost surely, 254350454132 is an apocalyptic number.

54350454132 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

54350454132 is an abundant number, since it is smaller than the sum of its proper divisors (93645075732).

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

54350454132 is a wasteful number, since it uses less digits than its factorization.

54350454132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32609 (or 32604 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

Adding to 54350454132 its reverse (23145405345), we get a palindrome (77495859477).

The spelling of 54350454132 in words is "fifty-four billion, three hundred fifty million, four hundred fifty-four thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 4073 8146 12219 16292 24438 28513 36657 48876 52949 57026 73314 85539 105898 114052 146628 158847 171078 211796 256617 317694 342156 370669 476541 513234 635388 741338 953082 1026468 1112007 1482676 1906164 2224014 3336021 4448028 6672042 13344084 116133449 232266898 348400347 464533796 696800694 1045201041 1393601388 1509734837 2090402082 3019469674 4180804164 4529204511 6038939348 9058409022 13587613533 18116818044 27175227066 54350454132