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21454531331454 = 23213277686948187
BaseRepresentation
bin1001110000011010001011…
…01110000000010101111110
32210222000220011202221221100
410320031011232000111332
510303002340010101304
6113344024200313530
74343016200240364
oct470150556002576
983860804687840
1021454531331454
1169218a7688801
1224a60471728a6
13bc81cc684130
14542594cdb634
152731355b7439
hex138345b8057e

21454531331454 has 96 divisors (see below), whose sum is σ = 50249654189280. Its totient is φ = 6576468454656.

The previous prime is 21454531331437. The next prime is 21454531331473. The reversal of 21454531331454 is 45413313545412.

21454531331454 is a `hidden beast` number, since 2 + 1 + 4 + 5 + 453 + 133 + 14 + 54 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 445210749 + ... + 445258935.

It is an arithmetic number, because the mean of its divisors is an integer number (523433897805).

Almost surely, 221454531331454 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21454531331454, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25124827094640).

21454531331454 is an abundant number, since it is smaller than the sum of its proper divisors (28795122857826).

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

21454531331454 is a wasteful number, since it uses less digits than its factorization.

21454531331454 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55354 (or 55351 counting only the distinct ones).

The product of its digits is 1728000, while the sum is 45.

Adding to 21454531331454 its reverse (45413313545412), we get a palindrome (66867844876866).

The spelling of 21454531331454 in words is "twenty-one trillion, four hundred fifty-four billion, five hundred thirty-one million, three hundred thirty-one thousand, four hundred fifty-four".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 277 554 831 1662 2493 3601 4986 6869 7202 10803 13738 20607 21606 32409 41214 48187 61821 64818 89297 96374 123642 144561 178594 267891 289122 433683 535782 626431 803673 867366 1252862 1607346 1879293 1902713 3758586 3805426 5637879 5708139 11275758 11416278 13347799 17124417 24735269 26695598 34248834 40043397 49470538 74205807 80086794 120130191 148411614 173521387 222617421 240260382 330996503 347042774 445234842 520564161 661993006 992989509 1041128322 1561692483 1985979018 2978968527 3123384966 4302954539 5957937054 8605909078 12908863617 25817727234 38726590851 77453181702 91686031331 183372062662 275058093993 550116187986 825174281979 1191918407303 1650348563958 2383836814606 3575755221909 7151510443818 10727265665727 21454531331454