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161712119808 = 2133214812
BaseRepresentation
bin1001011010011011001…
…0110010000000000000
3120110101222212211211200
42112212302302000000
510122141300313213
6202142311541200
714453243224101
oct2264662620000
9513358784750
10161712119808
1162644304108
122741108a800
1312331b9a875
147b810723a8
154316e37273
hex25a6cb2000

161712119808 has 126 divisors (see below), whose sum is σ = 467455467297. Its totient is φ = 53867642880.

The previous prime is 161712119801. The next prime is 161712119827. The reversal of 161712119808 is 808911217161.

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.

161712119808 is a `hidden beast` number, since 1 + 617 + 1 + 21 + 1 + 9 + 8 + 0 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 160871583744 + 840536064 = 401088^2 + 28992^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=284352.

It is not an unprimeable number, because it can be changed into a prime (161712119801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 109190428 + ... + 109191908.

Almost surely, 2161712119808 is an apocalyptic number.

161712119808 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 161712119808

161712119808 is an abundant number, since it is smaller than the sum of its proper divisors (305743347489).

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

161712119808 is an frugal number, since it uses more digits than its factorization.

161712119808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2994 (or 1486 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 45.

The spelling of 161712119808 in words is "one hundred sixty-one billion, seven hundred twelve million, one hundred nineteen thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1481 1536 2048 2304 2962 3072 4096 4443 4608 5924 6144 8192 8886 9216 11848 12288 13329 17772 18432 23696 24576 26658 35544 36864 47392 53316 71088 73728 94784 106632 142176 189568 213264 284352 379136 426528 568704 758272 853056 1137408 1516544 1706112 2193361 2274816 3033088 3412224 4386722 4549632 6066176 6580083 6824448 8773444 9099264 12132352 13160166 13648896 17546888 18198528 19740249 26320332 27297792 35093776 36397056 39480498 52640664 54595584 70187552 78960996 105281328 109191168 140375104 157921992 210562656 280750208 315843984 421125312 561500416 631687968 842250624 1123000832 1263375936 1684501248 2246001664 2526751872 3369002496 4492003328 5053503744 6738004992 8984006656 10107007488 13476009984 17968013312 20214014976 26952019968 40428029952 53904039936 80856059904 161712119808