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21376824196 = 22713241110183
BaseRepresentation
bin10011111010001010…
…000111001110000100
32001011210021011222111
4103322022013032010
5322234431333241
613453111310404
71354511002420
oct237212071604
961153234874
1021376824196
11907a729462
12418707b404
132028a00600
14106b0c3b80
15851a83c81
hex4fa287384

21376824196 has 72 divisors (see below), whose sum is σ = 47424956544. Its totient is φ = 8250428160.

The previous prime is 21376824179. The next prime is 21376824251. The reversal of 21376824196 is 69142867312.

It is a happy number.

It is a super-2 number, since 2×213768241962 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 138921 + ... + 249103.

It is an arithmetic number, because the mean of its divisors is an integer number (658679952).

Almost surely, 221376824196 is an apocalyptic number.

21376824196 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21376824196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23712478272).

21376824196 is an abundant number, since it is smaller than the sum of its proper divisors (26048132348).

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

21376824196 is a wasteful number, since it uses less digits than its factorization.

21376824196 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110261 (or 110246 counting only the distinct ones).

The product of its digits is 870912, while the sum is 49.

The spelling of 21376824196 in words is "twenty-one billion, three hundred seventy-six million, eight hundred twenty-four thousand, one hundred ninety-six".

Divisors: 1 2 4 7 13 14 26 28 41 52 82 91 164 169 182 287 338 364 533 574 676 1066 1148 1183 2132 2366 3731 4732 6929 7462 13858 14924 27716 48503 97006 110183 194012 220366 440732 771281 1432379 1542562 2864758 3085124 4517503 5729516 9035006 10026653 18070012 18620927 20053306 31622521 37241854 40106612 58727539 63245042 74483708 117455078 126490084 130346489 234910156 260692978 411092773 521385956 763458007 822185546 1526916014 1644371092 3053832028 5344206049 10688412098 21376824196