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21104497454400 = 2632521465590101
BaseRepresentation
bin1001100110001110001100…
…00100101110110101000000
32202201120101201021121222200
410303013012010232311000
510231234002322020100
6112515134451433200
74305515056335243
oct463070604566500
982646351247880
1021104497454400
1167a7404690098
12244a2395b5800
13ba11b7a83c19
1452d66ab6b25a
15268e9a5c0e00
hex1331c612ed40

21104497454400 has 126 divisors (see below), whose sum is σ = 75010367010462. Its totient is φ = 5627865984000.

The previous prime is 21104497454387. The next prime is 21104497454449. The reversal of 21104497454400 is 445479440112.

21104497454400 is a `hidden beast` number, since 2 + 1 + 10 + 4 + 4 + 97 + 4 + 544 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 167503569984 + 20936993884416 = 409272^2 + 4575696^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 732780651 + ... + 732809450.

Almost surely, 221104497454400 is an apocalyptic number.

21104497454400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21104497454400 is an abundant number, since it is smaller than the sum of its proper divisors (53905869556062).

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

21104497454400 is a wasteful number, since it uses less digits than its factorization.

21104497454400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1465590129 (or 1465590111 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 21104497454400 in words is "twenty-one trillion, one hundred four billion, four hundred ninety-seven million, four hundred fifty-four thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 32 36 40 45 48 50 60 64 72 75 80 90 96 100 120 144 150 160 180 192 200 225 240 288 300 320 360 400 450 480 576 600 720 800 900 960 1200 1440 1600 1800 2400 2880 3600 4800 7200 14400 1465590101 2931180202 4396770303 5862360404 7327950505 8793540606 11724720808 13190310909 14655901010 17587081212 21983851515 23449441616 26380621818 29311802020 35174162424 36639752525 43967703030 46898883232 52761243636 58623604040 65951554545 70348324848 73279505050 87935406060 93797766464 105522487272 109919257575 117247208080 131903109090 140696649696 146559010100 175870812120 211044974544 219838515150 234494416160 263806218180 281393299392 293118020200 329757772725 351741624240 422089949088 439677030300 468988832320 527612436360 586236040400 659515545450 703483248480 844179898176 879354060600 1055224872720 1172472080800 1319031090900 1406966496960 1758708121200 2110449745440 2344944161600 2638062181800 3517416242400 4220899490880 5276124363600 7034832484800 10552248727200 21104497454400