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20703353416064 = 2711171738949741
BaseRepresentation
bin1001011010100011000000…
…00001101010100110000000
32201022012222022000002102122
410231101200001222212000
510203200431433303224
6112010553402503412
74234524253303424
oct455214001524600
981265868002378
1020703353416064
1166622742a4870
1223a4547204b68
13b72419416227
14518094a84b84
1525d81d54315e
hex12d46006a980

20703353416064 has 128 divisors (see below), whose sum is σ = 47644936970400. Its totient is φ = 8856362188800.

The previous prime is 20703353416027. The next prime is 20703353416079. The reversal of 20703353416064 is 46061435330702.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

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, 416198234 + ... + 416247974.

Almost surely, 220703353416064 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 20703353416064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23822468485200).

20703353416064 is an abundant number, since it is smaller than the sum of its proper divisors (26941583554336).

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

20703353416064 is a wasteful number, since it uses less digits than its factorization.

20703353416064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67172 (or 67160 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 44.

Adding to 20703353416064 its reverse (46061435330702), we get a palindrome (66764788746766).

The spelling of 20703353416064 in words is "twenty trillion, seven hundred three billion, three hundred fifty-three million, four hundred sixteen thousand, sixty-four".

Divisors: 1 2 4 8 11 16 17 22 32 34 44 64 68 88 128 136 176 187 272 352 374 544 704 748 1088 1408 1496 2176 2992 5984 11968 17389 23936 34778 49741 69556 99482 139112 191279 198964 278224 295613 382558 397928 547151 556448 591226 765116 795856 845597 1094302 1112896 1182452 1530232 1591712 1691194 2188604 2225792 2364904 3060464 3183424 3251743 3382388 4377208 4729808 6120928 6366848 6503486 6764776 8754416 9301567 9459616 12241856 13006972 13529552 17508832 18603134 18919232 24483712 26013944 27059104 35017664 37206268 37838464 52027888 54118208 70035328 74412536 104055776 108236416 148825072 208111552 297650144 416223104 595300288 864946249 1190600576 1729892498 3459784996 6919569992 9514408739 13839139984 14704086233 19028817478 27678279968 29408172466 38057634956 55356559936 58816344932 76115269912 110713119872 117632689864 152230539824 161744948563 235265379728 304461079648 323489897126 470530759456 608922159296 646979794252 941061518912 1217844318592 1293959588504 1882123037824 2587919177008 5175838354016 10351676708032 20703353416064