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481546052442 = 232721341997737
BaseRepresentation
bin1110000000111100110…
…00011010001101011010
31201000221202212001020100
413000132120122031122
530342201242134232
61005115203040230
746535105624100
oct7003630321532
91630852761210
10481546052442
1117624a213574
12793b0970076
1336542b6aa90
14194423cbc70
15c7d59abc7c
hex701e61a35a

481546052442 has 72 divisors (see below), whose sum is σ = 1307053602036. Its totient is φ = 127001153664.

The previous prime is 481546052413. The next prime is 481546052453. The reversal of 481546052442 is 244250645184.

481546052442 is a `hidden beast` number, since 4 + 8 + 15 + 4 + 605 + 24 + 4 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 412098518601 + 69447533841 = 641949^2 + 263529^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 20987403 + ... + 21010334.

Almost surely, 2481546052442 is an apocalyptic number.

481546052442 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

481546052442 is an abundant number, since it is smaller than the sum of its proper divisors (825507549594).

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

481546052442 is a wasteful number, since it uses less digits than its factorization.

481546052442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41997772 (or 41997762 counting only the distinct ones).

The product of its (nonzero) digits is 1228800, while the sum is 45.

The spelling of 481546052442 in words is "four hundred eighty-one billion, five hundred forty-six million, fifty-two thousand, four hundred forty-two".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 42 49 63 78 91 98 117 126 147 182 234 273 294 441 546 637 819 882 1274 1638 1911 3822 5733 11466 41997737 83995474 125993211 251986422 293984159 377979633 545970581 587968318 755959266 881952477 1091941162 1637911743 1763904954 2057889113 2645857431 3275823486 3821794067 4115778226 4913735229 5291714862 6173667339 7643588134 9827470458 11465382201 12347334678 18521002017 22930764402 26752558469 34396146603 37042004034 53505116938 68792293206 80257675407 160515350814 240773026221 481546052442