Search a number
-
+
21332203119984 = 2435095419161123
BaseRepresentation
bin1001101100110110010100…
…11000111010010101110000
32210112100010220122221201110
410312123022120322111300
510244001322444314414
6113211513454233320
74331125610504421
oct466331230722560
983470126587643
1021332203119984
116884a33593979
1224863a77b5840
13bb9806027a53
1453a6ac6a1648
1526ed7601b459
hex1366ca63a570

21332203119984 has 80 divisors (see below), whose sum is σ = 55226991139200. Its totient is φ = 7095410719488.

The previous prime is 21332203119967. The next prime is 21332203119991. The reversal of 21332203119984 is 48991130223312.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 132316447 + ... + 132477569.

It is an arithmetic number, because the mean of its divisors is an integer number (690337389240).

Almost surely, 221332203119984 is an apocalyptic number.

21332203119984 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

21332203119984 is an abundant number, since it is smaller than the sum of its proper divisors (33894788019216).

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

21332203119984 is a wasteful number, since it uses less digits than its factorization.

21332203119984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167062 (or 167056 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 48.

The spelling of 21332203119984 in words is "twenty-one trillion, three hundred thirty-two billion, two hundred three million, one hundred nineteen thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 509 1018 1527 2036 3054 4072 5419 6108 8144 10838 12216 16257 21676 24432 32514 43352 65028 86704 130056 161123 260112 322246 483369 644492 966738 1288984 1933476 2577968 2758271 3866952 5516542 7733904 8274813 11033084 16549626 22066168 33099252 44132336 66198504 82011607 132397008 164023214 246034821 328046428 492069642 656092856 873125537 984139284 1312185712 1746251074 1968278568 2619376611 3492502148 3936557136 5238753222 6985004296 10477506444 13970008592 20955012888 41910025776 444420898333 888841796666 1333262694999 1777683593332 2666525389998 3555367186664 5333050779996 7110734373328 10666101559992 21332203119984