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103393674521808 = 2431117103111834011
BaseRepresentation
bin10111100000100100110111…
…001111011110110011010000
3111120002100010221122120220120
4113200210313033132303100
5102023000221134144213
61003522222013310240
730530642432466066
oct2740446717366320
9446070127576816
10103393674521808
112aa43013888920
12b71a478495380
13458cc9b969878
141b763cdb76036
15be4790431423
hex5e09373decd0

103393674521808 has 160 divisors (see below), whose sum is σ = 311517666450432. Its totient is φ = 29202096691200.

The previous prime is 103393674521803. The next prime is 103393674521827. The reversal of 103393674521808 is 808125476393301.

It is a happy number.

103393674521808 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1033936745218082 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103393674521803) 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, 54992478 + ... + 56841533.

It is a 1-persistent number, because it is pandigital, but 2⋅103393674521808 = 206787349043616 is not.

Almost surely, 2103393674521808 is an apocalyptic number.

It is an amenable number.

103393674521808 is an abundant number, since it is smaller than the sum of its proper divisors (208123991928624).

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

103393674521808 is a wasteful number, since it uses less digits than its factorization.

103393674521808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111834153 (or 111834147 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 60.

The spelling of 103393674521808 in words is "one hundred three trillion, three hundred ninety-three billion, six hundred seventy-four million, five hundred twenty-one thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 11 12 16 17 22 24 33 34 44 48 51 66 68 88 102 103 132 136 176 187 204 206 264 272 309 374 408 412 528 561 618 748 816 824 1122 1133 1236 1496 1648 1751 2244 2266 2472 2992 3399 3502 4488 4532 4944 5253 6798 7004 8976 9064 10506 13596 14008 18128 19261 21012 27192 28016 38522 42024 54384 57783 77044 84048 115566 154088 231132 308176 462264 924528 111834011 223668022 335502033 447336044 671004066 894672088 1230174121 1342008132 1789344176 1901178187 2460348242 2684016264 3690522363 3802356374 4920696484 5368032528 5703534561 7381044726 7604712748 9841392968 11407069122 11518903133 14762089452 15209425496 19682785936 20912960057 22814138244 23037806266 29524178904 30418850992 34556709399 41825920114 45628276488 46075612532 59048357808 62738880171 69113418798 83651840228 91256552976 92151225064 125477760342 126707934463 138226837596 167303680456 184302450128 195821353261 250955520684 253415868926 276453675192 334607360912 380123803389 391642706522 501911041368 506831737852 552907350384 587464059783 760247606778 783285413044 1003822082736 1013663475704 1174928119566 1520495213556 1566570826088 2027326951408 2154034885871 2349856239132 3040990427112 3133141652176 4308069771742 4699712478264 6081980854224 6462104657613 8616139543484 9399424956528 12924209315226 17232279086968 25848418630452 34464558173936 51696837260904 103393674521808