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162413522048 = 2717921992
BaseRepresentation
bin1001011101000010011…
…0011010110010000000
3120112012212200202211102
42113100212122302000
510130110330201143
6202340045233532
714506521105431
oct2272046326200
9515185622742
10162413522048
1162974220a88
1227587b628a8
13124142ab28b
147c0a293488
1543587d50b8
hex25d099ac80

162413522048 has 72 divisors (see below), whose sum is σ = 327019145355. Its totient is φ = 80347297536.

The previous prime is 162413522039. The next prime is 162413522059. The reversal of 162413522048 is 840225314261.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 81206761024 + 81206761024 = 284968^2 + 284968^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=284968.

It is a super-2 number, since 2×1624135220482 (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 816148253 + ... + 816148451.

Almost surely, 2162413522048 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 162413522048

162413522048 is an abundant number, since it is smaller than the sum of its proper divisors (164605623307).

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

162413522048 is an frugal number, since it uses more digits than its factorization.

162413522048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 770 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 38.

The spelling of 162413522048 in words is "one hundred sixty-two billion, four hundred thirteen million, five hundred twenty-two thousand, forty-eight".

Divisors: 1 2 4 8 16 32 64 128 179 199 358 398 716 796 1432 1592 2864 3184 5728 6368 11456 12736 22912 25472 32041 35621 39601 64082 71242 79202 128164 142484 158404 256328 284968 316808 512656 569936 633616 1025312 1139872 1267232 2050624 2279744 2534464 4101248 4559488 5068928 6376159 7088579 12752318 14177158 25504636 28354316 51009272 56708632 102018544 113417264 204037088 226834528 408074176 453669056 816148352 907338112 1268855641 2537711282 5075422564 10150845128 20301690256 40603380512 81206761024 162413522048