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21246181216 = 2513195095281
BaseRepresentation
bin10011110010010111…
…101111111101100000
32000211200102211111121
4103302113233331200
5322003010244331
613432123222024
71351333363201
oct236227577540
960750384447
1021246181216
119012a08457
12414b377914
13200791b280
1410579d75a8
15845379c11
hex4f25eff60

21246181216 has 96 divisors (see below), whose sum is σ = 47518984800. Its totient is φ = 9269821440.

The previous prime is 21246181213. The next prime is 21246181249. The reversal of 21246181216 is 61218164212.

It is a super-2 number, since 2×212461812162 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21246181213) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4020496 + ... + 4025776.

It is an arithmetic number, because the mean of its divisors is an integer number (494989425).

Almost surely, 221246181216 is an apocalyptic number.

21246181216 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 21246181216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23759492400).

21246181216 is an abundant number, since it is smaller than the sum of its proper divisors (26272803584).

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

21246181216 is a wasteful number, since it uses less digits than its factorization.

21246181216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5832 (or 5824 counting only the distinct ones).

The product of its digits is 9216, while the sum is 34.

The spelling of 21246181216 in words is "twenty-one billion, two hundred forty-six million, one hundred eighty-one thousand, two hundred sixteen".

Divisors: 1 2 4 8 13 16 19 26 32 38 52 76 104 152 208 247 304 416 494 509 608 988 1018 1976 2036 3952 4072 5281 6617 7904 8144 9671 10562 13234 16288 19342 21124 26468 38684 42248 52936 68653 77368 84496 100339 105872 125723 137306 154736 168992 200678 211744 251446 274612 309472 401356 502892 549224 802712 1005784 1098448 1304407 1605424 2011568 2196896 2608814 2688029 3210848 4023136 5217628 5376058 10435256 10752116 20870512 21504232 34944377 41741024 43008464 51072551 69888754 86016928 102145102 139777508 204290204 279555016 408580408 559110032 663943163 817160816 1118220064 1327886326 1634321632 2655772652 5311545304 10623090608 21246181216