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21451122660 = 223511283114847
BaseRepresentation
bin10011111110100101…
…100010011111100100
32001100222001221022110
4103332211202133210
5322412441411120
613504324001020
71356402351132
oct237645423744
961328057273
1021451122660
119108665a50
1241a7b30170
13203b2157b6
141076d04752
1585835d2e0
hex4fe9627e4

21451122660 has 96 divisors (see below), whose sum is σ = 65755533312. Its totient is φ = 5181851520.

The previous prime is 21451122659. The next prime is 21451122673. The reversal of 21451122660 is 6622115412.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 129357 + ... + 244203.

It is an arithmetic number, because the mean of its divisors is an integer number (684953472).

Almost surely, 221451122660 is an apocalyptic number.

21451122660 is a gapful number since it is divisible by the number (20) 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 21451122660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32877766656).

21451122660 is an abundant number, since it is smaller than the sum of its proper divisors (44304410652).

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

21451122660 is a wasteful number, since it uses less digits than its factorization.

21451122660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115153 (or 115151 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The spelling of 21451122660 in words is "twenty-one billion, four hundred fifty-one million, one hundred twenty-two thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 283 330 566 660 849 1132 1415 1698 2830 3113 3396 4245 5660 6226 8490 9339 12452 15565 16980 18678 31130 37356 46695 62260 93390 114847 186780 229694 344541 459388 574235 689082 1148470 1263317 1378164 1722705 2296940 2526634 3445410 3789951 5053268 6316585 6890820 7579902 12633170 15159804 18949755 25266340 32501701 37899510 65003402 75799020 97505103 130006804 162508505 195010206 325017010 357518711 390020412 487525515 650034020 715037422 975051030 1072556133 1430074844 1787593555 1950102060 2145112266 3575187110 4290224532 5362780665 7150374220 10725561330 21451122660