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22016254041264 = 2437796869120749
BaseRepresentation
bin1010000000110000011110…
…00000000101110010110000
32212221201210121011012112010
411000120033000011302300
510341203242013310024
6114454043311402520
74431423204423240
oct500301700056260
985851717135463
1022016254041264
11701904a49767a
122576a92b23440
13c3917c12a2b2
145618416cbb20
15282a5ecdab29
hex14060f005cb0

22016254041264 has 160 divisors (see below), whose sum is σ = 65833286400000. Its totient is φ = 6209777912832.

The previous prime is 22016254041253. The next prime is 22016254041359. The reversal of 22016254041264 is 46214045261022.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 182270362 + ... + 182391110.

It is an arithmetic number, because the mean of its divisors is an integer number (411458040000).

Almost surely, 222016254041264 is an apocalyptic number.

22016254041264 is a gapful number since it is divisible by the number (24) 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 22016254041264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32916643200000).

22016254041264 is an abundant number, since it is smaller than the sum of its proper divisors (43817032358736).

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

22016254041264 is a wasteful number, since it uses less digits than its factorization.

22016254041264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127715 (or 127709 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 39.

The spelling of 22016254041264 in words is "twenty-two trillion, sixteen billion, two hundred fifty-four million, forty-one thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 79 84 112 158 168 237 316 336 474 553 632 948 1106 1264 1659 1896 2212 3318 3792 4424 6636 6869 8848 13272 13738 20607 26544 27476 41214 48083 54952 82428 96166 109904 120749 144249 164856 192332 241498 288498 329712 362247 384664 482996 542651 576996 724494 769328 845243 965992 1085302 1153992 1448988 1627953 1690486 1931984 2170604 2307984 2535729 2897976 3255906 3380972 3798557 4341208 5071458 5795952 6511812 6761944 7597114 8682416 9539171 10142916 11395671 13023624 13523888 15194228 19078342 20285832 22791342 26047248 28617513 30388456 38156684 40571664 45582684 57235026 60776912 66774197 76313368 91165368 114470052 133548394 152626736 182330736 200322591 228940104 267096788 400645182 457880208 534193576 801290364 829424881 1068387152 1602580728 1658849762 2488274643 3205161456 3317699524 4976549286 5805974167 6635399048 9953098572 11611948334 13270798096 17417922501 19906197144 23223896668 34835845002 39812394288 46447793336 65524565599 69671690004 92895586672 131049131198 139343380008 196573696797 262098262396 278686760016 393147393594 458671959193 524196524792 786294787188 917343918386 1048393049584 1376015877579 1572589574376 1834687836772 2752031755158 3145179148752 3669375673544 5504063510316 7338751347088 11008127020632 22016254041264