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2121459528384 = 26327275165091
BaseRepresentation
bin11110110111110000110…
…101110111001011000000
321111210212011101012000100
4132313300311313023000
5234224222114402014
64302330212122400
7306161513314200
oct36676065671300
97453764335010
102121459528384
11748784663209
122a31a0606400
1312508bc405b1
14749719a2400
153a2b6186009
hex1edf0d772c0

2121459528384 has 126 divisors (see below), whose sum is σ = 7073561312844. Its totient is φ = 606131285760.

The previous prime is 2121459528379. The next prime is 2121459528431. The reversal of 2121459528384 is 4838259541212.

2121459528384 is a `hidden beast` number, since 2 + 1 + 2 + 14 + 595 + 2 + 8 + 38 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (126).

It is a self number, because there is not a number n which added to its sum of digits gives 2121459528384.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 37554322 + ... + 37610769.

Almost surely, 22121459528384 is an apocalyptic number.

2121459528384 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2121459528384 is an abundant number, since it is smaller than the sum of its proper divisors (4952101784460).

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

2121459528384 is a wasteful number, since it uses less digits than its factorization.

2121459528384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75165123 (or 75165103 counting only the distinct ones).

The product of its digits is 5529600, while the sum is 54.

The spelling of 2121459528384 in words is "two trillion, one hundred twenty-one billion, four hundred fifty-nine million, five hundred twenty-eight thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 49 56 63 64 72 84 96 98 112 126 144 147 168 192 196 224 252 288 294 336 392 441 448 504 576 588 672 784 882 1008 1176 1344 1568 1764 2016 2352 3136 3528 4032 4704 7056 9408 14112 28224 75165091 150330182 225495273 300660364 450990546 526155637 601320728 676485819 901981092 1052311274 1202641456 1352971638 1578466911 1803962184 2104622548 2405282912 2705943276 3156933822 3607924368 3683089459 4209245096 4735400733 4810565824 5411886552 6313867644 7215848736 7366178918 8418490192 9470801466 10823773104 11049268377 12627735288 14431697472 14732357836 16836980384 18941602932 21647546208 22098536754 25255470576 29464715672 33147805131 33673960768 37883205864 43295092416 44197073508 50510941152 58929431344 66295610262 75766411728 88394147016 101021882304 117858862688 132591220524 151532823456 176788294032 235717725376 265182441048 303065646912 353576588064 530364882096 707153176128 1060729764192 2121459528384