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161347479808 = 2817149248821
BaseRepresentation
bin1001011001000100001…
…1110010100100000000
3120102110120202012210111
42112101003302210000
510120414423323213
6202042204241104
714441224643524
oct2262103624400
9512416665714
10161347479808
116247749a739
122732ab40194
13122a4489b58
147b48873d84
1542e4e0aa3d
hex25910f2900

161347479808 has 72 divisors (see below), whose sum is σ = 343299713400. Its totient is φ = 75418337280.

The previous prime is 161347479767. The next prime is 161347479823. The reversal of 161347479808 is 808974743161.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 283316224 + 161064163584 = 16832^2 + 401328^2 .

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 524038 + ... + 772858.

It is an arithmetic number, because the mean of its divisors is an integer number (4768051575).

Almost surely, 2161347479808 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 161347479808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171649856700).

161347479808 is an abundant number, since it is smaller than the sum of its proper divisors (181952233592).

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

161347479808 is a wasteful number, since it uses less digits than its factorization.

161347479808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249003 (or 248989 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 58.

The spelling of 161347479808 in words is "one hundred sixty-one billion, three hundred forty-seven million, four hundred seventy-nine thousand, eight hundred eight".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 149 256 272 298 544 596 1088 1192 2176 2384 2533 4352 4768 5066 9536 10132 19072 20264 38144 40528 81056 162112 248821 324224 497642 648448 995284 1990568 3981136 4229957 7962272 8459914 15924544 16919828 31849088 33839656 37074329 63698176 67679312 74148658 135358624 148297316 270717248 296594632 541434496 593189264 630263593 1082868992 1186378528 1260527186 2372757056 2521054372 4745514112 5042108744 9491028224 10084217488 20168434976 40336869952 80673739904 161347479808