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21472120116 = 22333123332749
BaseRepresentation
bin10011111111110101…
…101000110100110100
32001102102120201102000
4103333311220310310
5322433330320431
613510354015300
71360046003166
oct237765506464
961372521360
1021472120116
1191194a7717
1241b2b77530
132042687c25
141079a0c936
1585a1099e6
hex4ffd68d34

21472120116 has 96 divisors (see below), whose sum is σ = 57509760000. Its totient is φ = 6921002880.

The previous prime is 21472120081. The next prime is 21472120123. The reversal of 21472120116 is 61102127412.

It is a super-2 number, since 2×214721201162 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 21472120116.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7809510 + ... + 7812258.

It is an arithmetic number, because the mean of its divisors is an integer number (599060000).

Almost surely, 221472120116 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 21472120116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28754880000).

21472120116 is an abundant number, since it is smaller than the sum of its proper divisors (36037639884).

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

21472120116 is a wasteful number, since it uses less digits than its factorization.

21472120116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5126 (or 5118 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

Adding to 21472120116 its reverse (61102127412), we get a palindrome (82574247528).

The spelling of 21472120116 in words is "twenty-one billion, four hundred seventy-two million, one hundred twenty thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 27 31 36 54 62 93 108 124 186 279 372 558 837 1116 1674 2333 2749 3348 4666 5498 6999 8247 9332 10996 13998 16494 20997 24741 27996 32988 41994 49482 62991 72323 74223 83988 85219 98964 125982 144646 148446 170438 216969 251964 255657 289292 296892 340876 433938 511314 650907 766971 867876 1022628 1301814 1533942 1952721 2300913 2603628 3067884 3905442 4601826 6413417 7810884 9203652 12826834 19240251 25653668 38480502 57720753 76961004 115441506 173162259 198815927 230883012 346324518 397631854 596447781 692649036 795263708 1192895562 1789343343 2385791124 3578686686 5368030029 7157373372 10736060058 21472120116