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10362769221068 = 221119291291733091
BaseRepresentation
bin1001011011001100010100…
…1011011010010111001100
31100200200010012112002110222
42112303011023122113030
52324240422410033233
634012331312250512
72116454040011315
oct226630513322714
940620105462428
1010362769221068
11333590a083130
1211b445a540a38
135a2288355b54
1427b7bc81560c
1512e85d00e898
hex96cc52da5cc

10362769221068 has 96 divisors (see below), whose sum is σ = 21545115782400. Its totient is φ = 4308095635200.

The previous prime is 10362769221053. The next prime is 10362769221137. The reversal of 10362769221068 is 86012296726301.

10362769221068 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×103627692210683 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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, 313143203 + ... + 313176293.

It is an arithmetic number, because the mean of its divisors is an integer number (224428289400).

Almost surely, 210362769221068 is an apocalyptic number.

It is an amenable number.

10362769221068 is an abundant number, since it is smaller than the sum of its proper divisors (11182346561332).

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

10362769221068 is a wasteful number, since it uses less digits than its factorization.

10362769221068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46071 (or 46069 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 53.

The spelling of 10362769221068 in words is "ten trillion, three hundred sixty-two billion, seven hundred sixty-nine million, two hundred twenty-one thousand, sixty-eight".

Divisors: 1 2 4 11 19 22 29 38 44 58 76 116 209 319 418 551 638 836 1102 1276 2204 6061 12122 12917 24244 25834 33091 51668 66182 132364 142087 245423 284174 364001 374593 490846 568348 628729 728002 749186 959639 981692 1257458 1456004 1498372 1919278 2514916 2699653 3838556 4120523 5399306 6916019 7117267 8241046 10556029 10798612 13832038 14234534 16482092 18233141 21112058 27664076 28469068 36466282 42224116 72932564 78289937 156579874 200564551 313159748 401129102 427436447 802258204 854872894 1709745788 4701800917 8121292493 9403601834 12395656963 16242584986 18807203668 24791313926 32485169972 49582627852 89334217423 136352226593 178668434846 235517482297 272704453186 357336869692 471034964594 545408906372 942069929188 2590692305267 5181384610534 10362769221068