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21454554431412 = 22325876837691933
BaseRepresentation
bin1001110000011010001110…
…00110000111111110110100
32210222000221210020120010100
410320031013012013332310
510303002411413301122
6113344030343354100
74343016600500244
oct470150706077664
983860853216110
1021454554431412
116921909726083
1224a6052a52930
13bc82043b154b
14542597dd1b24
1527313762baac
hex138347187fb4

21454554431412 has 144 divisors (see below), whose sum is σ = 54503201712960. Its totient is φ = 7115928551424.

The previous prime is 21454554431389. The next prime is 21454554431447. The reversal of 21454554431412 is 21413445545412.

21454554431412 is a `hidden beast` number, since 2 + 1 + 4 + 54 + 554 + 4 + 3 + 1 + 41 + 2 = 666.

It is a super-2 number, since 2×214545544314122 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 11099095998 + ... + 11099097930.

It is an arithmetic number, because the mean of its divisors is an integer number (378494456340).

Almost surely, 221454554431412 is an apocalyptic number.

It is an amenable number.

21454554431412 is an abundant number, since it is smaller than the sum of its proper divisors (33048647281548).

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

21454554431412 is a wasteful number, since it uses less digits than its factorization.

21454554431412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3982 (or 3977 counting only the distinct ones).

The product of its digits is 1536000, while the sum is 45.

Adding to 21454554431412 its reverse (21413445545412), we get a palindrome (42867999976824).

The spelling of 21454554431412 in words is "twenty-one trillion, four hundred fifty-four billion, five hundred fifty-four million, four hundred thirty-one thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 587 683 769 1174 1366 1538 1761 1933 2049 2307 2348 2732 3076 3522 3866 4098 4614 5283 5799 6147 6921 7044 7732 8196 9228 10566 11598 12294 13842 17397 21132 23196 24588 27684 34794 69588 400921 451403 525227 801842 902806 1050454 1134671 1202763 1320239 1354209 1486477 1575681 1603684 1805612 2100908 2269342 2405526 2640478 2708418 2972954 3151362 3404013 3608289 3960717 4062627 4459431 4538684 4727043 4811052 5280956 5416836 5945908 6302724 6808026 7216578 7921434 8125254 8918862 9454086 10212039 11882151 13378293 13616052 14433156 15842868 16250508 17837724 18908172 20424078 23764302 26756586 40848156 47528604 53513172 308308249 616616498 774980293 872561999 924924747 1015263791 1233232996 1549960586 1745123998 1849849494 2030527582 2324940879 2617685997 2774774241 3045791373 3099921172 3490247996 3699698988 4061055164 4649881758 5235371994 5549548482 6091582746 6974822637 7853057991 9137374119 9299763516 10470743988 11099096964 12183165492 13949645274 15706115982 18274748238 27899290548 31412231964 36549496476 595959845317 1191919690634 1787879535951 2383839381268 3575759071902 5363638607853 7151518143804 10727277215706 21454554431412