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20123334353502 = 23217237439238157
BaseRepresentation
bin1001001001101010101000…
…01100100010001001011110
32122020202211202210211021100
410210311110030202021132
510114200042043303002
6110444310541213530
74144601661516342
oct444652414421136
978222752724240
1020123334353502
1164592926a0306
122310053b612a6
13b2c81221ab33
144d7d90363622
1524d6c292811c
hex124d5432225e

20123334353502 has 144 divisors (see below), whose sum is σ = 47676507072480. Its totient is φ = 6128557894656.

The previous prime is 20123334353491. The next prime is 20123334353543. The reversal of 20123334353502 is 20535343332102.

20123334353502 is a `hidden beast` number, since 20 + 1 + 233 + 3 + 4 + 353 + 50 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 84377008 + ... + 84615164.

It is an arithmetic number, because the mean of its divisors is an integer number (331086854670).

Almost surely, 220123334353502 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20123334353502, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23838253536240).

20123334353502 is an abundant number, since it is smaller than the sum of its proper divisors (27553172718978).

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

20123334353502 is a wasteful number, since it uses less digits than its factorization.

20123334353502 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238675 (or 238655 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 36.

Adding to 20123334353502 its reverse (20535343332102), we get a palindrome (40658677685604).

The spelling of 20123334353502 in words is "twenty trillion, one hundred twenty-three billion, three hundred thirty-four million, three hundred fifty-three thousand, five hundred two".

Divisors: 1 2 3 6 9 17 18 34 37 51 74 102 111 153 222 289 306 333 439 578 629 666 867 878 1258 1317 1734 1887 2601 2634 3774 3951 5202 5661 7463 7902 10693 11322 14926 16243 21386 22389 32079 32486 44778 48729 64158 67167 96237 97458 126871 134334 146187 192474 238157 253742 276131 292374 380613 476314 552262 714471 761226 828393 1141839 1428942 1656786 2143413 2283678 2485179 4048669 4286826 4694227 4970358 8097338 8811809 9388454 12146007 14082681 17623618 24292014 26435427 28165362 36438021 42248043 52870854 68827373 72876042 79306281 84496086 104550923 137654746 149800753 158612562 206482119 209101846 299601506 313652769 412964238 449402259 619446357 627305538 898804518 940958307 1238892714 1348206777 1777365691 1881916614 2546612801 2696413554 3554731382 3868384151 5093225602 5332097073 7639838403 7736768302 10664194146 11605152453 15279676806 15996291219 22919515209 23210304906 30215216747 31992582438 34815457359 45839030418 60430433494 65762530567 69630914718 90645650241 131525061134 181291300482 197287591701 271936950723 394575183402 543873901446 591862775103 1117963019639 1183725550206 2235926039278 3353889058917 6707778117834 10061667176751 20123334353502