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161566143252 = 223234725748463
BaseRepresentation
bin1001011001111000010…
…1111011001100010100
3120110000211012110122120
42112132011323030110
510121341413041002
6202120015055540
714446521362343
oct2263605731424
9513024173576
10161566143252
116257996a828
12273902115b0
131230a87a0c7
147b69913b5a
1543091eecbc
hex259e17b314

161566143252 has 96 divisors (see below), whose sum is σ = 403319734272. Its totient is φ = 50220589056.

The previous prime is 161566143217. The next prime is 161566143253. The reversal of 161566143252 is 252341665161.

161566143252 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1615661432522 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (161566143253) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3309573 + ... + 3358035.

It is an arithmetic number, because the mean of its divisors is an integer number (4201247232).

Almost surely, 2161566143252 is an apocalyptic number.

161566143252 is a gapful number since it is divisible by the number (12) 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 161566143252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201659867136).

161566143252 is an abundant number, since it is smaller than the sum of its proper divisors (241753591020).

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

161566143252 is a wasteful number, since it uses less digits than its factorization.

161566143252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48797 (or 48795 counting only the distinct ones).

The product of its digits is 259200, while the sum is 42.

The spelling of 161566143252 in words is "one hundred sixty-one billion, five hundred sixty-six million, one hundred forty-three thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 12 23 46 47 69 92 94 138 141 188 257 276 282 514 564 771 1028 1081 1542 2162 3084 3243 4324 5911 6486 11822 12079 12972 17733 23644 24158 35466 36237 48316 48463 70932 72474 96926 144948 145389 193852 277817 290778 555634 581556 833451 1111268 1114649 1666902 2229298 2277761 3333804 3343947 4458596 4555522 6687894 6833283 9111044 12454991 13375788 13666566 24909982 27333132 37364973 49819964 52388503 74729946 104777006 149459892 157165509 209554012 286464793 314331018 572929586 585384577 628662036 859394379 1145859172 1170769154 1718788758 1756153731 2341538308 3437577516 3512307462 7024614924 13463845271 26927690542 40391535813 53855381084 80783071626 161566143252