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21011344469748 = 2233238995041273
BaseRepresentation
bin1001100011100000101011…
…01110010010111011110100
32202101122221201111201001000
410301300111232102323310
510223222213141012443
6112404251200003300
74266006463125513
oct461602556227364
982348851451030
1021011344469748
116770952208a66
122434180900530
13b95490974b69
14528d5120267a
152668475318d3
hex131c15b92ef4

21011344469748 has 96 divisors (see below), whose sum is σ = 57480962515200. Its totient is φ = 6623996493312.

The previous prime is 21011344469723. The next prime is 21011344469779. The reversal of 21011344469748 is 84796444311012.

It is a happy number.

21011344469748 is a `hidden beast` number, since 2 + 1 + 0 + 1 + 134 + 4 + 469 + 7 + 48 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 21011344469694 and 21011344469703.

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 31 ways as a sum of consecutive naturals, for example, 47299561 + ... + 47741712.

It is an arithmetic number, because the mean of its divisors is an integer number (598760026200).

Almost surely, 221011344469748 is an apocalyptic number.

It is an amenable number.

21011344469748 is an abundant number, since it is smaller than the sum of its proper divisors (36469618045452).

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

21011344469748 is a wasteful number, since it uses less digits than its factorization.

21011344469748 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95041398 (or 95041390 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 21011344469748 in words is "twenty-one trillion, eleven billion, three hundred forty-four million, four hundred sixty-nine thousand, seven hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 23 27 36 46 54 69 89 92 108 138 178 207 267 276 356 414 534 621 801 828 1068 1242 1602 2047 2403 2484 3204 4094 4806 6141 8188 9612 12282 18423 24564 36846 55269 73692 110538 221076 95041273 190082546 285123819 380165092 570247638 855371457 1140495276 1710742914 2185949279 2566114371 3421485828 4371898558 5132228742 6557847837 8458673297 8743797116 10264457484 13115695674 16917346594 19673543511 25376019891 26231391348 33834693188 39347087022 50752039782 59020630533 76128059673 78694174044 101504079564 118041261066 152256119346 194549485831 228384179019 236082522132 304512238692 389098971662 456768358038 583648457493 778197943324 913536716076 1167296914986 1750945372479 2334593829972 3501890744958 5252836117437 7003781489916 10505672234874 21011344469748