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21654306640 = 2451571938933
BaseRepresentation
bin10100001010101100…
…100111111101010000
32001220010101202100001
4110022230213331100
5323322000303030
613540422535344
71364420366221
oct241254477520
961803352301
1021654306640
11920232309a
124243b97554
1320713460c5
141095cb5248
1586b0e5cca
hex50ab27f50

21654306640 has 80 divisors (see below), whose sum is σ = 50935164048. Its totient is φ = 8561000448.

The previous prime is 21654306637. The next prime is 21654306659. The reversal of 21654306640 is 4660345612.

It can be written as a sum of positive squares in 8 ways, for example, as 3940826176 + 17713480464 = 62776^2 + 133092^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 21654306640.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2419614 + ... + 2428546.

Almost surely, 221654306640 is an apocalyptic number.

21654306640 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 21654306640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25467582024).

21654306640 is an abundant number, since it is smaller than the sum of its proper divisors (29280857408).

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

21654306640 is a wasteful number, since it uses less digits than its factorization.

21654306640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9296 (or 9290 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 37.

The spelling of 21654306640 in words is "twenty-one billion, six hundred fifty-four million, three hundred six thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 157 193 314 386 628 772 785 965 1256 1544 1570 1930 2512 3088 3140 3860 6280 7720 8933 12560 15440 17866 30301 35732 44665 60602 71464 89330 121204 142928 151505 178660 242408 303010 357320 484816 606020 714640 1212040 1402481 1724069 2424080 2804962 3448138 5609924 6896276 7012405 8620345 11219848 13792552 14024810 17240690 22439696 27585104 28049620 34481380 56099240 68962760 112198480 137925520 270678833 541357666 1082715332 1353394165 2165430664 2706788330 4330861328 5413576660 10827153320 21654306640