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161272903824 = 24341011232069
BaseRepresentation
bin1001011000110010011…
…1010011100010010000
3120102021101102100210000
42112030213103202100
510120241330410244
6202030542010000
714436331031034
oct2261447234220
9512241370700
10161272903824
116243939369a
1227309b76900
1312291ba8556
147b3c9c01c4
1542dd5c9169
hex258c9d3890

161272903824 has 100 divisors (see below), whose sum is σ = 471392446140. Its totient is φ = 53225337600.

The previous prime is 161272903801. The next prime is 161272903843. The reversal of 161272903824 is 428309272161.

161272903824 is a `hidden beast` number, since 1 + 612 + 7 + 2 + 9 + 0 + 3 + 8 + 24 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 74129863824 + 87143040000 = 272268^2 + 295200^2 .

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 161272903824.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 485139 + ... + 746930.

Almost surely, 2161272903824 is an apocalyptic number.

It is an amenable number.

161272903824 is an abundant number, since it is smaller than the sum of its proper divisors (310119542316).

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

161272903824 is a wasteful number, since it uses less digits than its factorization.

161272903824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1232190 (or 1232175 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 161272903824 in words is "one hundred sixty-one billion, two hundred seventy-two million, nine hundred three thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 101 108 144 162 202 216 303 324 404 432 606 648 808 909 1212 1296 1616 1818 2424 2727 3636 4848 5454 7272 8181 10908 14544 16362 21816 32724 43632 65448 130896 1232069 2464138 3696207 4928276 7392414 9856552 11088621 14784828 19713104 22177242 29569656 33265863 44354484 59139312 66531726 88708968 99797589 124438969 133063452 177417936 199595178 248877938 266126904 373316907 399190356 497755876 532253808 746633814 798380712 995511752 1119950721 1493267628 1596761424 1991023504 2239901442 2986535256 3359852163 4479802884 5973070512 6719704326 8959605768 10079556489 13439408652 17919211536 20159112978 26878817304 40318225956 53757634608 80636451912 161272903824