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20600640066042 = 23217238322674561
BaseRepresentation
bin1001010111100011101011…
…10101010101000111111010
32200221101212000201021200200
410223301311311111013322
510200010102324103132
6111451445311143030
74224230031240441
oct453616565250772
980841760637620
1020600640066042
116622756294733
122388660814a76
13b6582a72773a
1451310d517d58
1525ad0aed7d7c
hex12bc75d551fa

20600640066042 has 144 divisors (see below), whose sum is σ = 47569932813312. Its totient is φ = 6441815255040.

The previous prime is 20600640066023. The next prime is 20600640066091. The reversal of 20600640066042 is 24066004600602.

20600640066042 is a `hidden beast` number, since 2 + 0 + 6 + 0 + 0 + 6 + 40 + 0 + 6 + 604 + 2 = 666.

It is a super-3 number, since 3×206006400660423 (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 20600640065988 and 20600640066006.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4516691442 + ... + 4516696002.

It is an arithmetic number, because the mean of its divisors is an integer number (330346755648).

Almost surely, 220600640066042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20600640066042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23784966406656).

20600640066042 is an abundant number, since it is smaller than the sum of its proper divisors (26969292747270).

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

20600640066042 is a wasteful number, since it uses less digits than its factorization.

20600640066042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7253 (or 7233 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

Adding to 20600640066042 its reverse (24066004600602), we get a palindrome (44666644666644).

The spelling of 20600640066042 in words is "twenty trillion, six hundred billion, six hundred forty million, sixty-six thousand, forty-two".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 289 306 383 578 766 867 1149 1734 2267 2298 2601 3447 4534 4561 5202 6511 6801 6894 9122 13022 13602 13683 19533 20403 27366 38539 39066 40806 41049 58599 77078 77537 82098 110687 115617 117198 155074 221374 231234 232611 332061 346851 465222 655163 664122 693702 697833 868261 996183 1310326 1318129 1395666 1736522 1746863 1965489 1992366 2604783 2636258 3493726 3930978 3954387 5209566 5240589 5896467 7814349 7908774 10339787 10481178 11792934 11863161 14760437 15628698 15721767 20679574 23726322 29520874 29696671 31019361 31443534 44281311 59393342 62038722 88562622 89090013 93058083 132843933 175776379 178180026 186116166 250927429 265687866 267270039 351552758 501854858 504843407 527329137 534540078 752782287 1009686814 1054658274 1505564574 1514530221 1581987411 2258346861 2988198443 3029060442 3163974822 3960138421 4516693722 4543590663 5976396886 7920276842 8964595329 9087181326 11880415263 17929190658 23760830526 26893785987 35641245789 53787571974 67322353157 71282491578 134644706314 201967059471 403934118942 605901178413 1144480003669 1211802356826 2288960007338 3433440011007 6866880022014 10300320033021 20600640066042