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8170942064148 = 2232372165792997
BaseRepresentation
bin111011011100111001000…
…0110010110011000010100
31001221010122000001000001100
41312321302012112120110
52032333042132023043
625213402353430100
71502221363406133
oct166716206263024
931833560030040
108170942064148
112670305863116
12abb6bbb6b330
13473693a81b46
142036934a191a
15e282934acd3
hex76e72196614

8170942064148 has 54 divisors (see below), whose sum is σ = 21227638084926. Its totient is φ = 2650035248064.

The previous prime is 8170942064027. The next prime is 8170942064203. The reversal of 8170942064148 is 8414602490718.

8170942064148 is a `hidden beast` number, since 8 + 1 + 70 + 9 + 420 + 6 + 4 + 148 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 1911328370064 + 6259613694084 = 1382508^2 + 2501922^2 .

It is a junction number, because it is equal to n+sod(n) for n = 8170942064094 and 8170942064103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 82847215 + ... + 82945782.

Almost surely, 28170942064148 is an apocalyptic number.

It is an amenable number.

8170942064148 is an abundant number, since it is smaller than the sum of its proper divisors (13056696020778).

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

8170942064148 is a wasteful number, since it uses less digits than its factorization.

8170942064148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165793081 (or 165793039 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 8170942064148 in words is "eight trillion, one hundred seventy billion, nine hundred forty-two million, sixty-four thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 333 444 666 1332 1369 2738 4107 5476 8214 12321 16428 24642 49284 165792997 331585994 497378991 663171988 994757982 1492136973 1989515964 2984273946 5968547892 6134340889 12268681778 18403022667 24537363556 36806045334 55209068001 73612090668 110418136002 220836272004 226970612893 453941225786 680911838679 907882451572 1361823677358 2042735516037 2723647354716 4085471032074 8170942064148