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21214789621488 = 24331723125596699
BaseRepresentation
bin1001101001011011100111…
…11111111101011011110000
32210010010002011110020021000
410310231303333331123300
510240040342120341423
6113041534555402000
74316501156312631
oct464556377753360
983103064406230
1021214789621488
11683a161744701
12246769a153300
13bab713968558
14534b30a85888
1526bca317b843
hex134b73ffd6f0

21214789621488 has 160 divisors (see below), whose sum is σ = 67279640256000. Its totient is φ = 6366245428224.

The previous prime is 21214789621477. The next prime is 21214789621499. The reversal of 21214789621488 is 88412698741212.

21214789621488 is a `hidden beast` number, since 2 + 1 + 2 + 1 + 47 + 8 + 96 + 21 + 488 = 666.

It is an interprime number because it is at equal distance from previous prime (21214789621477) and next prime (21214789621499).

It is a super-2 number, since 2×212147896214882 (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 (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 62629438 + ... + 62967261.

It is an arithmetic number, because the mean of its divisors is an integer number (420497751600).

Almost surely, 221214789621488 is an apocalyptic number.

It is an amenable number.

21214789621488 is an abundant number, since it is smaller than the sum of its proper divisors (46064850634512).

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

21214789621488 is a wasteful number, since it uses less digits than its factorization.

21214789621488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125596756 (or 125596744 counting only the distinct ones).

The product of its digits is 24772608, while the sum is 63.

The spelling of 21214789621488 in words is "twenty-one trillion, two hundred fourteen billion, seven hundred eighty-nine million, six hundred twenty-one thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 23 24 27 34 36 46 48 51 54 68 69 72 92 102 108 136 138 144 153 184 204 207 216 272 276 306 368 391 408 414 432 459 552 612 621 782 816 828 918 1104 1173 1224 1242 1564 1656 1836 2346 2448 2484 3128 3312 3519 3672 4692 4968 6256 7038 7344 9384 9936 10557 14076 18768 21114 28152 42228 56304 84456 168912 125596699 251193398 376790097 502386796 753580194 1004773592 1130370291 1507160388 2009547184 2135143883 2260740582 2888724077 3014320776 3391110873 4270287766 4521481164 5777448154 6028641552 6405431649 6782221746 8540575532 8666172231 9042962328 11554896308 12810863298 13564443492 17081151064 17332344462 18085924656 19216294947 23109792616 25621726596 25998516693 27128886984 34162302128 34664688924 38432589894 46219585232 49108309309 51243453192 51997033386 54257773968 57648884841 69329377848 76865179788 77995550079 98216618618 102486906384 103994066772 115297769682 138658755696 147324927927 153730359576 155991100158 196433237236 207988133544 230595539364 294649855854 307460719152 311982200316 392866474472 415976267088 441974783781 461191078728 589299711708 623964400632 785732948944 883949567562 922382157456 1178599423416 1247928801264 1325924351343 1767899135124 2357198846832 2651848702686 3535798270248 5303697405372 7071596540496 10607394810744 21214789621488