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21862168832 = 28761919709
BaseRepresentation
bin10100010111000101…
…100011100100000000
32002102121112020122202
4110113011203210000
5324233203400312
614013210052332
71402523240360
oct242705434400
962377466582
1021862168832
1192a9696029
1242a171a0a8
1320a5423b9a
1410b57429a0
1587e4a49c2
hex517163900

21862168832 has 72 divisors (see below), whose sum is σ = 49956177600. Its totient is φ = 9353889792.

The previous prime is 21862168787. The next prime is 21862168837. The reversal of 21862168832 is 23886126812.

It is not an unprimeable number, because it can be changed into a prime (21862168837) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1099394 + ... + 1119102.

It is an arithmetic number, because the mean of its divisors is an integer number (693835800).

Almost surely, 221862168832 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 21862168832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24978088800).

21862168832 is an abundant number, since it is smaller than the sum of its proper divisors (28094008768).

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

21862168832 is an equidigital number, since it uses as much as digits as its factorization.

21862168832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20351 (or 20337 counting only the distinct ones).

The product of its digits is 442368, while the sum is 47.

The spelling of 21862168832 in words is "twenty-one billion, eight hundred sixty-two million, one hundred sixty-eight thousand, eight hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 448 619 896 1238 1792 2476 4333 4952 8666 9904 17332 19709 19808 34664 39418 39616 69328 78836 79232 137963 138656 157672 158464 275926 277312 315344 551852 554624 630688 1103704 1109248 1261376 2207408 2522752 4414816 5045504 8829632 12199871 17659264 24399742 35318528 48799484 85399097 97598968 170798194 195197936 341596388 390395872 683192776 780791744 1366385552 1561583488 2732771104 3123166976 5465542208 10931084416 21862168832