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21214025131664 = 2423313894780397
BaseRepresentation
bin1001101001011010001100…
…11011101010011010010000
32210010001002212221010101002
410310231012123222122100
510240032310413203124
6113041331050001132
74316443214254421
oct464550633523220
983101085833332
1021214025131664
1168398aa158132
1224675061161a8
13bab621469701
14534a9b321648
1526bc5aebb0ae
hex134b466ea690

21214025131664 has 80 divisors (see below), whose sum is σ = 44386569077760. Its totient is φ = 9793310461440.

The previous prime is 21214025131597. The next prime is 21214025131697. The reversal of 21214025131664 is 46613152041212.

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, 2047514 + ... + 6827910.

It is an arithmetic number, because the mean of its divisors is an integer number (554832113472).

Almost surely, 221214025131664 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 21214025131664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22193284538880).

21214025131664 is an abundant number, since it is smaller than the sum of its proper divisors (23172543946096).

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

21214025131664 is a wasteful number, since it uses less digits than its factorization.

21214025131664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4780848 (or 4780842 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 38.

Adding to 21214025131664 its reverse (46613152041212), we get a palindrome (67827177172876).

The spelling of 21214025131664 in words is "twenty-one trillion, two hundred fourteen billion, twenty-five million, one hundred thirty-one thousand, six hundred sixty-four".

Divisors: 1 2 4 8 16 23 31 46 62 92 124 184 248 368 389 496 713 778 1426 1556 2852 3112 5704 6224 8947 11408 12059 17894 24118 35788 48236 71576 96472 143152 192944 277357 554714 1109428 2218856 4437712 4780397 9560794 19121588 38243176 76486352 109949131 148192307 219898262 296384614 439796524 592769228 879593048 1185538456 1759186096 1859574433 2371076912 3408423061 3719148866 6816846122 7438297732 13633692244 14876595464 27267384488 29753190928 42770211959 54534768976 57646807423 85540423918 115293614846 171080847836 230587229692 342161695672 461174459384 684323391344 922348918768 1325876570729 2651753141458 5303506282916 10607012565832 21214025131664