Search a number
-
+
8121790172159 = 23432533603389
BaseRepresentation
bin111011000110000000001…
…1010110000101111111111
31001202102202112002011220022
41312030000122300233333
52031031411241002114
625135033210042355
71465531350254366
oct166140032605777
931672675064808
108121790172159
1126514828aa184
12ab20831193bb
1346bb5c93a1a1
1420114d6607dd
15e13ee18248e
hex763006b0bff

8121790172159 has 24 divisors (see below), whose sum is σ = 8840297581920. Its totient is φ = 7444830224832.

The previous prime is 8121790172147. The next prime is 8121790172183. The reversal of 8121790172159 is 9512710971218.

It is a de Polignac number, because none of the positive numbers 2k-8121790172159 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (53).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 8121790172159.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8121790172359) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 452237 + ... + 4055625.

It is an arithmetic number, because the mean of its divisors is an integer number (368345732580).

Almost surely, 28121790172159 is an apocalyptic number.

8121790172159 is a deficient number, since it is larger than the sum of its proper divisors (718507409761).

8121790172159 is a wasteful number, since it uses less digits than its factorization.

8121790172159 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3603551 (or 3603508 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 53.

The spelling of 8121790172159 in words is "eight trillion, one hundred twenty-one billion, seven hundred ninety million, one hundred seventy-two thousand, one hundred fifty-nine".

Divisors: 1 23 43 53 989 1219 1849 2279 42527 52417 97997 2253931 3603389 82877947 154945727 190979617 3563751721 4392531191 6662666261 8212123531 153241324003 188878841213 353121311833 8121790172159