Search a number
-
+
21090654864960 = 263549144744261
BaseRepresentation
bin1001100101110100011001…
…11111011100011001000000
32202200020200000000020002220
410302322030333130121000
510231022130121134320
6112504525121011040
74304515042302522
oct462721477343100
982606600006086
1021090654864960
1167a155092582a
122447615783a80
13b9cabcc69cb5
1452cb1654ba12
1526893a1d2e40
hex132e8cfdc640

21090654864960 has 112 divisors (see below), whose sum is σ = 67099211203392. Its totient is φ = 5612719974400.

The previous prime is 21090654864953. The next prime is 21090654864977. The reversal of 21090654864960 is 6946845609012.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 21090654864894 and 21090654864903.

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, 21900771 + ... + 22843490.

Almost surely, 221090654864960 is an apocalyptic number.

21090654864960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21090654864960 is an abundant number, since it is smaller than the sum of its proper divisors (46008556338432).

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

21090654864960 is a wasteful number, since it uses less digits than its factorization.

21090654864960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44744772 (or 44744762 counting only the distinct ones).

The product of its (nonzero) digits is 22394880, while the sum is 60.

The spelling of 21090654864960 in words is "twenty-one trillion, ninety billion, six hundred fifty-four million, eight hundred sixty-four thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 491 960 982 1473 1964 2455 2946 3928 4910 5892 7365 7856 9820 11784 14730 15712 19640 23568 29460 31424 39280 47136 58920 78560 94272 117840 157120 235680 471360 44744261 89488522 134232783 178977044 223721305 268465566 357954088 447442610 536931132 671163915 715908176 894885220 1073862264 1342327830 1431816352 1789770440 2147724528 2684655660 2863632704 3579540880 4295449056 5369311320 7159081760 8590898112 10738622640 14318163520 21477245280 21969432151 42954490560 43938864302 65908296453 87877728604 109847160755 131816592906 175755457208 219694321510 263633185812 329541482265 351510914416 439388643020 527266371624 659082964530 703021828832 878777286040 1054532743248 1318165929060 1406043657664 1757554572080 2109065486496 2636331858120 3515109144160 4218130972992 5272663716240 7030218288320 10545327432480 21090654864960