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21620822608 = 24711191496199
BaseRepresentation
bin10100001000101100…
…111001001001010000
32001210210101120212201
4110020230321021100
5323234412310413
613533225132544
71363532650150
oct241054711120
961723346781
1021620822608
119195433040
12423492a154
132067421378
14109167a760
158681ce9dd
hex508b39250

21620822608 has 160 divisors (see below), whose sum is σ = 55353600000. Its totient is φ = 7925506560.

The previous prime is 21620822593. The next prime is 21620822611. The reversal of 21620822608 is 80622802612.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 3484693 + ... + 3490891.

It is an arithmetic number, because the mean of its divisors is an integer number (345960000).

Almost surely, 221620822608 is an apocalyptic number.

21620822608 is a gapful number since it is divisible by the number (28) 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 21620822608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27676800000).

21620822608 is an abundant number, since it is smaller than the sum of its proper divisors (33732777392).

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

21620822608 is a wasteful number, since it uses less digits than its factorization.

21620822608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6393 (or 6387 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 37.

The spelling of 21620822608 in words is "twenty-one billion, six hundred twenty million, eight hundred twenty-two thousand, six hundred eight".

Divisors: 1 2 4 7 8 11 14 16 19 22 28 38 44 56 76 77 88 112 133 149 152 154 176 209 266 298 304 308 418 532 596 616 836 1043 1064 1192 1232 1463 1639 1672 2086 2128 2384 2831 2926 3278 3344 4172 5662 5852 6199 6556 8344 11324 11473 11704 12398 13112 16688 19817 22648 22946 23408 24796 26224 31141 39634 43393 45296 45892 49592 62282 68189 79268 86786 91784 99184 117781 124564 136378 158536 173572 183568 217987 235562 249128 272756 317072 347144 435974 471124 477323 498256 545512 694288 824467 871948 923651 942248 954646 1091024 1295591 1648934 1743896 1847302 1884496 1909292 2591182 3297868 3487792 3694604 3818584 5182364 6465557 6595736 7389208 7637168 9069137 10160161 10364728 12931114 13191472 14778416 17549369 18138274 20320322 20729456 25862228 35098738 36276548 40640644 51724456 70197476 71121127 72553096 81281288 103448912 122845583 140394952 142242254 145106192 162562576 193043059 245691166 280789904 284484508 386086118 491382332 568969016 772172236 982764664 1137938032 1351301413 1544344472 1965529328 2702602826 3088688944 5405205652 10810411304 21620822608