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21028432208 = 24729103239263
BaseRepresentation
bin10011100101011001…
…000110100101010000
32000021111201001000112
4103211121012211100
5321031234312313
613354344140452
71343050503350
oct234531064520
960244631015
1021028432208
118a110023a3
1240aa467728
131ca178b2c4
141036b14b60
158311b68a8
hex4e5646950

21028432208 has 160 divisors (see below), whose sum is σ = 49025433600. Its totient is φ = 8548259328.

The previous prime is 21028432207. The next prime is 21028432223. The reversal of 21028432208 is 80223482012.

It is a super-2 number, since 2×210284322082 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21028432207) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 79955885 + ... + 79956147.

It is an arithmetic number, because the mean of its divisors is an integer number (306408960).

Almost surely, 221028432208 is an apocalyptic number.

21028432208 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 21028432208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24512716800).

21028432208 is an abundant number, since it is smaller than the sum of its proper divisors (27997001392).

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

21028432208 is a wasteful number, since it uses less digits than its factorization.

21028432208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 649 (or 643 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 32.

The spelling of 21028432208 in words is "twenty-one billion, twenty-eight million, four hundred thirty-two thousand, two hundred eight".

Divisors: 1 2 4 7 8 14 16 28 29 56 58 103 112 116 203 206 232 239 263 406 412 464 478 526 721 812 824 956 1052 1442 1624 1648 1673 1841 1912 2104 2884 2987 3248 3346 3682 3824 4208 5768 5974 6692 6931 7364 7627 11536 11948 13384 13862 14728 15254 20909 23896 24617 26768 27089 27724 29456 30508 41818 47792 48517 49234 53389 54178 55448 61016 62857 83636 97034 98468 106778 108356 110896 122032 125714 167272 172319 189623 194068 196936 213556 216712 251428 334544 344638 379246 388136 393872 427112 433424 439999 502856 689276 713893 758492 776272 785581 854224 879998 1005712 1378552 1427786 1516984 1571162 1759996 1822853 2757104 2855572 3033968 3142324 3519992 3645706 4997251 5499067 5711144 6284648 6474271 7039984 7291412 9994502 10998134 11422288 12569296 12759971 12948542 14582824 19989004 21996268 25519942 25897084 29165648 39978008 43992536 45319897 51039884 51794168 79956016 87985072 90639794 102079768 103588336 181279588 187753859 204159536 362559176 375507718 725118352 751015436 1314277013 1502030872 2628554026 3004061744 5257108052 10514216104 21028432208