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20345006326122 = 2321989821814139
BaseRepresentation
bin1001010000000111100001…
…11000000000000101101010
32200000222000110201210021100
410220003300320000011222
510131313033104413442
6111134211125022230
74166610136301112
oct450036070000552
980028013653240
1020345006326122
1165342a5750285
122346bb9554976
13b476ab42a03a
145049bc7d8042
152543487d284c
hex1280f0e0016a

20345006326122 has 96 divisors (see below), whose sum is σ = 46979460216000. Its totient is φ = 6344805392640.

The previous prime is 20345006326093. The next prime is 20345006326171. The reversal of 20345006326122 is 22162360054302.

20345006326122 is a `hidden beast` number, since 2 + 0 + 3 + 4 + 5 + 0 + 0 + 6 + 32 + 612 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24582529 + ... + 25396667.

It is an arithmetic number, because the mean of its divisors is an integer number (489369377250).

Almost surely, 220345006326122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20345006326122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23489730108000).

20345006326122 is an abundant number, since it is smaller than the sum of its proper divisors (26634453889878).

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

20345006326122 is a wasteful number, since it uses less digits than its factorization.

20345006326122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 815076 (or 815073 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 20345006326122 in words is "twenty trillion, three hundred forty-five billion, six million, three hundred twenty-six thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 19 38 57 89 114 171 178 267 342 534 801 821 1602 1642 1691 2463 3382 4926 5073 7389 10146 14778 15219 15599 30438 31198 46797 73069 93594 140391 146138 219207 280782 438414 657621 814139 1315242 1388311 1628278 2442417 2776622 4164933 4884834 7327251 8329866 12494799 14654502 15468641 24989598 30937282 46405923 72458371 92811846 139217769 144916742 217375113 278435538 434750226 652125339 668408119 1304250678 1336816238 1376709049 2005224357 2753418098 4010448714 4130127147 6015673071 8260254294 12031346142 12390381441 12699754261 24780762882 25399508522 38099262783 59488322591 76198525566 114297788349 118976645182 178464967773 228595576698 356929935546 535394903319 1070789806638 1130278129229 2260556258458 3390834387687 6781668775374 10172503163061 20345006326122