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21491984664 = 2334171950979
BaseRepresentation
bin10100000001000001…
…011010100100011000
32001110210221221110000
4110001001122210120
5323003422002124
613512343453000
71360406566263
oct240101324430
961423857400
1021491984664
1191297351a7
1241b9757160
1320468217b7
14107c4ddcda
1585bc306c9
hex50105a918

21491984664 has 80 divisors (see below), whose sum is σ = 63738516600. Its totient is φ = 6742579968.

The previous prime is 21491984663. The next prime is 21491984669. The reversal of 21491984664 is 46648919412.

21491984664 is a `hidden beast` number, since 2 + 1 + 4 + 91 + 98 + 466 + 4 = 666.

It is a super-2 number, since 2×214919846642 (a number of 21 digits) contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 21491984664.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21491984663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 964474 + ... + 986505.

Almost surely, 221491984664 is an apocalyptic number.

21491984664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

21491984664 is an abundant number, since it is smaller than the sum of its proper divisors (42246531936).

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

21491984664 is a wasteful number, since it uses less digits than its factorization.

21491984664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1951014 (or 1951001 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 54.

The spelling of 21491984664 in words is "twenty-one billion, four hundred ninety-one million, nine hundred eighty-four thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 51 54 68 72 81 102 108 136 153 162 204 216 306 324 408 459 612 648 918 1224 1377 1836 2754 3672 5508 11016 1950979 3901958 5852937 7803916 11705874 15607832 17558811 23411748 33166643 35117622 46823496 52676433 66333286 70235244 99499929 105352866 132666572 140470488 158029299 198999858 210705732 265333144 298499787 316058598 397999716 421411464 596999574 632117196 795999432 895499361 1193999148 1264234392 1790998722 2387998296 2686498083 3581997444 5372996166 7163994888 10745992332 21491984664