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21964425616 = 2472672792
BaseRepresentation
bin10100011101001011…
…101000100110010000
32002200201221102121001
4110131023220212100
5324440343104431
614031301511344
71405204352200
oct243513504620
962621842531
1021964425616
119351389071
12430ba12554
1320c0677963
1410c5160400
15888452e61
hex51d2e8990

21964425616 has 135 divisors (see below), whose sum is σ = 50898076299. Its totient is φ = 9155450304.

The previous prime is 21964425599. The next prime is 21964425673. The reversal of 21964425616 is 61652446912.

The square root of 21964425616 is 148204.

It is a perfect power (a square), and thus also a powerful number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 278030665 + ... + 278030743.

Almost surely, 221964425616 is an apocalyptic number.

21964425616 is the 148204-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21964425616

21964425616 is an abundant number, since it is smaller than the sum of its proper divisors (28933650683).

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

21964425616 is an frugal number, since it uses more digits than its factorization.

21964425616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 155 counting only the distinct ones).

The product of its digits is 622080, while the sum is 46.

The spelling of 21964425616 in words is "twenty-one billion, nine hundred sixty-four million, four hundred twenty-five thousand, six hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 49 56 67 79 98 112 134 158 196 268 316 392 469 536 553 632 784 938 1072 1106 1264 1876 2212 3283 3752 3871 4424 4489 5293 6241 6566 7504 7742 8848 8978 10586 12482 13132 15484 17956 21172 24964 26264 30968 31423 35912 37051 42344 43687 49928 52528 61936 62846 71824 74102 84688 87374 99856 125692 148204 174748 219961 251384 259357 296408 305809 349496 354631 418147 439922 502768 518714 592816 611618 698992 709262 836294 879844 1037428 1223236 1418524 1672588 1759688 2074856 2446472 2482417 2837048 2927029 3345176 3519376 4149712 4892944 4964834 5674096 5854058 6690352 9929668 11708116 17376919 19859336 20489203 23416232 28015849 34753838 39718672 40978406 46832464 56031698 69507676 81956812 112063396 139015352 163913624 196110943 224126792 278030704 327827248 392221886 448253584 784443772 1372776601 1568887544 2745553202 3137775088 5491106404 10982212808 21964425616