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8068205233188 = 22332391364922901
BaseRepresentation
bin111010101101000011010…
…0000011100010000100100
31001120022110002120020112000
41311122012200130100210
52024142141014430223
625054252102525300
71461623434635462
oct165320640342044
931508402506460
108068205233188
112630785575451
12aa3809736830
13466aa02616c9
141dc708b81832
15ded14c03543
hex7568681c424

8068205233188 has 96 divisors (see below), whose sum is σ = 21007546560000. Its totient is φ = 2677835865600.

The previous prime is 8068205233159. The next prime is 8068205233267. The reversal of 8068205233188 is 8813325028608.

8068205233188 is a `hidden beast` number, since 8 + 0 + 6 + 8 + 2 + 0 + 523 + 31 + 88 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 352296538 + ... + 352319438.

It is an arithmetic number, because the mean of its divisors is an integer number (218828610000).

Almost surely, 28068205233188 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 8068205233188, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10503773280000).

8068205233188 is an abundant number, since it is smaller than the sum of its proper divisors (12939341326812).

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

8068205233188 is a wasteful number, since it uses less digits than its factorization.

8068205233188 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36802 (or 36794 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The spelling of 8068205233188 in words is "eight trillion, sixty-eight billion, two hundred five million, two hundred thirty-three thousand, one hundred eighty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 239 478 717 956 1434 2151 2868 4302 6453 8604 12906 13649 22901 25812 27298 40947 45802 54596 68703 81894 91604 122841 137406 163788 206109 245682 274812 368523 412218 491364 618327 737046 824436 1236654 1474092 2473308 3262111 5473339 6524222 9786333 10946678 13048444 16420017 19572666 21893356 29358999 32840034 39145332 49260051 58717998 65680068 88076997 98520102 117435996 147780153 176153994 197040204 295560306 312575749 352307988 591120612 625151498 937727247 1250302996 1875454494 2813181741 3750908988 5626363482 8439545223 11252726964 16879090446 33758180892 74705604011 149411208022 224116812033 298822416044 448233624066 672350436099 896467248132 1344700872198 2017051308297 2689401744396 4034102616594 8068205233188