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21477314271276 = 22323193722139281
BaseRepresentation
bin1001110001000100100111…
…01100000001100000101100
32211001012200221220012221100
410320202103230001200230
510303341014423140101
6113402313022003100
74344453604106433
oct470422354014054
984035627805840
1021477314271276
116930528aa2696
1224aa545116490
13bca3c0794a06
14543716a4611a
15273a1a7ece86
hex138893b0182c

21477314271276 has 144 divisors (see below), whose sum is σ = 56132371346688. Its totient is φ = 6916899225600.

The previous prime is 21477314271241. The next prime is 21477314271317. The reversal of 21477314271276 is 67217241377412.

21477314271276 is a `hidden beast` number, since 2 + 1 + 4 + 77 + 31 + 4 + 271 + 276 = 666.

It is a super-3 number, since 3×214773142712763 (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 2314111756 + ... + 2314121036.

It is an arithmetic number, because the mean of its divisors is an integer number (389808134352).

Almost surely, 221477314271276 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21477314271276, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28066185673344).

21477314271276 is an abundant number, since it is smaller than the sum of its proper divisors (34655057075412).

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

21477314271276 is a wasteful number, since it uses less digits than its factorization.

21477314271276 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12472 (or 12467 counting only the distinct ones).

The product of its digits is 5531904, while the sum is 54.

The spelling of 21477314271276 in words is "twenty-one trillion, four hundred seventy-seven billion, three hundred fourteen million, two hundred seventy-one thousand, two hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 93 124 186 279 372 558 937 1116 1874 2213 2811 3748 4426 5622 6639 8433 8852 9281 11244 13278 16866 18562 19917 26556 27843 29047 33732 37124 39834 55686 58094 68603 79668 83529 87141 111372 116188 137206 167058 174282 205809 261423 274412 287711 334116 348564 411618 522846 575422 617427 823236 863133 1045692 1150844 1234854 1726266 2073581 2469708 2589399 3452532 4147162 5178798 6220743 8294324 8696297 10357596 12441486 17392594 18662229 20538853 24882972 26088891 34785188 37324458 41077706 52177782 61616559 64281011 74648916 78266673 82155412 104355564 123233118 128562022 156533346 184849677 192843033 246466236 257124044 269585207 313066692 369699354 385686066 539170414 578529099 636704443 739398708 771372132 808755621 1078340828 1157058198 1273408886 1617511242 1910113329 2314116396 2426266863 2546817772 3235022484 3820226658 4852533726 5730339987 7640453316 9705067452 11460679974 19244905261 22921359948 38489810522 57734715783 76979621044 115469431566 173204147349 230938863132 346408294698 596592063091 692816589396 1193184126182 1789776189273 2386368252364 3579552378546 5369328567819 7159104757092 10738657135638 21477314271276