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54462149442 = 2331961870197
BaseRepresentation
bin110010101110001100…
…100111001101000010
312012120120010211221000
4302232030213031002
51343014302240232
641004120512430
73635423426541
oct625614471502
9165516124830
1054462149442
1121108510a68
12a67b31b716
13519c35313c
1428c91c6158
15163b4a827c
hexcae327342

54462149442 has 64 divisors (see below), whose sum is σ = 129485462400. Its totient is φ = 16916610240.

The previous prime is 54462149429. The next prime is 54462149449. The reversal of 54462149442 is 24494126445.

54462149442 is a `hidden beast` number, since 5 + 4 + 4 + 62 + 149 + 442 = 666.

It is a super-2 number, since 2×544621494422 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (54462149449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 372513 + ... + 497684.

It is an arithmetic number, because the mean of its divisors is an integer number (2023210350).

Almost surely, 254462149442 is an apocalyptic number.

54462149442 is an abundant number, since it is smaller than the sum of its proper divisors (75023312958).

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

54462149442 is a wasteful number, since it uses less digits than its factorization.

54462149442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 870288 (or 870282 counting only the distinct ones).

The product of its digits is 1105920, while the sum is 45.

The spelling of 54462149442 in words is "fifty-four billion, four hundred sixty-two million, one hundred forty-nine thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 61 114 122 171 183 342 366 513 549 1026 1098 1159 1647 2318 3294 3477 6954 10431 20862 31293 62586 870197 1740394 2610591 5221182 7831773 15663546 16533743 23495319 33067486 46990638 49601229 53082017 99202458 106164034 148803687 159246051 297607374 318492102 446411061 477738153 892822122 955476306 1008558323 1433214459 2017116646 2866428918 3025674969 6051349938 9077024907 18154049814 27231074721 54462149442