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216003640032 = 2533250004213
BaseRepresentation
bin1100100100101011010…
…0011111101011100000
3202122112122221211111000
43021022310133223200
512014333412440112
6243121455352000
721414525434445
oct3111264375340
9678478854430
10216003640032
1183674472894
1235a43222600
13174a4a7b16b
14a65171d9cc
1559434387dc
hex324ad1fae0

216003640032 has 48 divisors (see below), whose sum is σ = 630010619280. Its totient is φ = 72001213056.

The previous prime is 216003640031. The next prime is 216003640043. The reversal of 216003640032 is 230046300612.

216003640032 is a `hidden beast` number, since 2 + 16 + 0 + 0 + 3 + 640 + 0 + 3 + 2 = 666.

216003640032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×2160036400322 (a number of 23 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 216003639978 and 216003640005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216003640031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 125001243 + ... + 125002970.

It is an arithmetic number, because the mean of its divisors is an integer number (13125221235).

Almost surely, 2216003640032 is an apocalyptic number.

It is an amenable number.

216003640032 is an abundant number, since it is smaller than the sum of its proper divisors (414006979248).

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

216003640032 is a wasteful number, since it uses less digits than its factorization.

216003640032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250004232 (or 250004218 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 216003640032 its reverse (230046300612), we get a palindrome (446049940644).

The spelling of 216003640032 in words is "two hundred sixteen billion, three million, six hundred forty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 250004213 500008426 750012639 1000016852 1500025278 2000033704 2250037917 3000050556 4000067408 4500075834 6000101112 6750113751 8000134816 9000151668 12000202224 13500227502 18000303336 24000404448 27000455004 36000606672 54000910008 72001213344 108001820016 216003640032