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21980435856 = 24329471911759
BaseRepresentation
bin10100011110001000…
…101101010110010000
32002201212001211111220
4110132020231112100
5330003442421411
614033033005040
71405460423241
oct243610552620
962655054456
1021980435856
11935a423875
124315253780
1320c3a92082
1410c732acc8
15889a66b06
hex51e22d590

21980435856 has 160 divisors (see below), whose sum is σ = 60338995200. Its totient is φ = 6883484160.

The previous prime is 21980435843. The next prime is 21980435857. The reversal of 21980435856 is 65853408912.

It is a junction number, because it is equal to n+sod(n) for n = 21980435799 and 21980435808.

It is not an unprimeable number, because it can be changed into a prime (21980435857) 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, 12495105 + ... + 12496863.

It is an arithmetic number, because the mean of its divisors is an integer number (377118720).

Almost surely, 221980435856 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 21980435856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30169497600).

21980435856 is an abundant number, since it is smaller than the sum of its proper divisors (38358559344).

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

21980435856 is a wasteful number, since it uses less digits than its factorization.

21980435856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2037 (or 2031 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 51.

The spelling of 21980435856 in words is "twenty-one billion, nine hundred eighty million, four hundred thirty-five thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 29 47 48 58 87 94 116 141 174 188 191 232 282 348 376 382 464 564 573 696 752 764 1128 1146 1363 1392 1528 1759 2256 2292 2726 3056 3518 4089 4584 5277 5452 5539 7036 8178 8977 9168 10554 10904 11078 14072 16356 16617 17954 21108 21808 22156 26931 28144 32712 33234 35908 42216 44312 51011 53862 65424 66468 71816 82673 84432 88624 102022 107724 132936 143632 153033 165346 204044 215448 248019 260333 265872 306066 330692 335969 408088 430896 496038 520666 612132 661384 671938 780999 816176 992076 1007907 1041332 1224264 1322768 1343876 1561998 1984152 2015814 2082664 2397517 2448528 2687752 3123996 3968304 4031628 4165328 4795034 5375504 6247992 7192551 8063256 9590068 9743101 12495984 14385102 15790543 16126512 19180136 19486202 28770204 29229303 31581086 38360272 38972404 47371629 57540408 58458606 63162172 77944808 94743258 115080816 116917212 126324344 155889616 189486516 233834424 252648688 378973032 457925747 467668848 757946064 915851494 1373777241 1831702988 2747554482 3663405976 5495108964 7326811952 10990217928 21980435856