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21091243761408 = 283473071903289
BaseRepresentation
bin1001100101110101100000…
…00101111001111100000000
32202200022012001010021011110
410302322300011321330000
510231024331400331113
6112505103355043320
74304535452655012
oct462726005717400
982608161107143
1021091243761408
1167a182328a407
12244775aa40540
13b9cb84c78932
1452cb708441b2
15268971c5abc3
hex132eb0179f00

21091243761408 has 144 divisors (see below), whose sum is σ = 57514561251840. Its totient is φ = 6858414563328.

The previous prime is 21091243761391. The next prime is 21091243761437. The reversal of 21091243761408 is 80416734219012.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10129828 + ... + 12033116.

It is an arithmetic number, because the mean of its divisors is an integer number (399406675360).

Almost surely, 221091243761408 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 21091243761408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28757280625920).

21091243761408 is an abundant number, since it is smaller than the sum of its proper divisors (36423317490432).

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

21091243761408 is a wasteful number, since it uses less digits than its factorization.

21091243761408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1903662 (or 1903648 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 48.

The spelling of 21091243761408 in words is "twenty-one trillion, ninety-one billion, two hundred forty-three million, seven hundred sixty-one thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 64 94 96 128 141 188 192 256 282 307 376 384 564 614 752 768 921 1128 1228 1504 1842 2256 2456 3008 3684 4512 4912 6016 7368 9024 9824 12032 14429 14736 18048 19648 28858 29472 36096 39296 43287 57716 58944 78592 86574 115432 117888 173148 230864 235776 346296 461728 692592 923456 1385184 1846912 1903289 2770368 3693824 3806578 5540736 5709867 7613156 11081472 11419734 15226312 22839468 30452624 45678936 60905248 89454583 91357872 121810496 178909166 182715744 243620992 268363749 357818332 365431488 487241984 536727498 584309723 715636664 730862976 1073454996 1168619446 1431273328 1461725952 1752929169 2146909992 2337238892 2862546656 3505858338 4293819984 4674477784 5725093312 7011716676 8587639968 9348955568 11450186624 14023433352 17175279936 18697911136 22900373248 27462556981 28046866704 34350559872 37395822272 54925113962 56093733408 68701119744 74791644544 82387670943 109850227924 112187466816 149583289088 164775341886 219700455848 224374933632 329550683772 439400911696 448749867264 659101367544 878801823392 1318202735088 1757603646784 2636405470176 3515207293568 5272810940352 7030414587136 10545621880704 21091243761408