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161659166304 = 2531739733813
BaseRepresentation
bin1001011010001110100…
…0110001111001100000
3120110021022020112021210
42112203220301321200
510122034221310204
6202133140550120
714452031145516
oct2264350617140
9513238215253
10161659166304
1162617426389
12273b73b2340
1312323c1a02c
147b7800a4b6
154312477389
hex25a3a31e60

161659166304 has 48 divisors (see below), whose sum is σ = 426808276272. Its totient is φ = 53574901248.

The previous prime is 161659166281. The next prime is 161659166341. The reversal of 161659166304 is 403661956161.

161659166304 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×1616591663042 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4850299 + ... + 4883514.

It is an arithmetic number, because the mean of its divisors is an integer number (8891839089).

Almost surely, 2161659166304 is an apocalyptic number.

It is an amenable number.

161659166304 is an abundant number, since it is smaller than the sum of its proper divisors (265149109968).

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

161659166304 is a wasteful number, since it uses less digits than its factorization.

161659166304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9733999 (or 9733991 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 48.

The spelling of 161659166304 in words is "one hundred sixty-one billion, six hundred fifty-nine million, one hundred sixty-six thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 173 346 519 692 1038 1384 2076 2768 4152 5536 8304 16608 9733813 19467626 29201439 38935252 58402878 77870504 116805756 155741008 233611512 311482016 467223024 934446048 1683949649 3367899298 5051848947 6735798596 10103697894 13471597192 20207395788 26943194384 40414791576 53886388768 80829583152 161659166304