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21202438656 = 293719103787
BaseRepresentation
bin10011101111110000…
…111000101000000000
32000201122010110222210
4103233300320220000
5321410311014111
613423521502120
71350262516650
oct235760705000
960648113883
1021202438656
118aa0250a83
1241387a1940
131ccb8440b9
141051c8c360
158415d90a6
hex4efc38a00

21202438656 has 160 divisors (see below), whose sum is σ = 67952079360. Its totient is φ = 5738950656.

The previous prime is 21202438633. The next prime is 21202438661. The reversal of 21202438656 is 65683420212.

It is a super-2 number, since 2×212024386562 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 152395 + ... + 256181.

It is an arithmetic number, because the mean of its divisors is an integer number (424700496).

Almost surely, 221202438656 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 21202438656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33976039680).

21202438656 is an abundant number, since it is smaller than the sum of its proper divisors (46749640704).

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

21202438656 is a wasteful number, since it uses less digits than its factorization.

21202438656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103834 (or 103818 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 39.

Adding to 21202438656 its reverse (65683420212), we get a palindrome (86885858868).

The spelling of 21202438656 in words is "twenty-one billion, two hundred two million, four hundred thirty-eight thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 32 38 42 48 56 57 64 76 84 96 112 114 128 133 152 168 192 224 228 256 266 304 336 384 399 448 456 512 532 608 672 768 798 896 912 1064 1216 1344 1536 1596 1792 1824 2128 2432 2688 3192 3584 3648 4256 4864 5376 6384 7296 8512 9728 10752 12768 14592 17024 25536 29184 34048 51072 68096 102144 103787 204288 207574 311361 415148 622722 726509 830296 1245444 1453018 1660592 1971953 2179527 2490888 2906036 3321184 3943906 4359054 4981776 5812072 5915859 6642368 7887812 8718108 9963552 11624144 11831718 13284736 13803671 15775624 17436216 19927104 23248288 23663436 26569472 27607342 31551248 34872432 39854208 41411013 46496576 47326872 53138944 55214684 63102496 69744864 79708416 82822026 92993152 94653744 110429368 126204992 139489728 159416832 165644052 185986304 189307488 220858736 252409984 278979456 331288104 371972608 378614976 441717472 504819968 557958912 662576208 757229952 883434944 1009639936 1115917824 1325152416 1514459904 1766869888 2650304832 3028919808 3533739776 5300609664 7067479552 10601219328 21202438656