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161023230729 = 3218127392
BaseRepresentation
bin1001010111110110111…
…0111000001100001001
3120101121222121122200100
42111331232320030021
510114233421340404
6201550102400013
714430206610114
oct2257556701411
9511558548610
10161023230729
1162320463599
122725a430009
131225224b8aa
147b1778b57b
1542c670bd39
hex257dbb8309

161023230729 has 27 divisors (see below), whose sum is σ = 234198144999. Its totient is φ = 106611273360.

The previous prime is 161023230721. The next prime is 161023230743. The reversal of 161023230729 is 927032320161.

The square root of 161023230729 is 401277.

It is a perfect power (a square), and thus also a powerful number.

161023230729 is a `hidden beast` number, since 1 + 610 + 2 + 3 + 2 + 30 + 7 + 2 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1774347129 + 159248883600 = 42123^2 + 399060^2 .

It is not a de Polignac number, because 161023230729 - 23 = 161023230721 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 161023230693 and 161023230702.

It is not an unprimeable number, because it can be changed into a prime (161023230721) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 217893042 + ... + 217893780.

Almost surely, 2161023230729 is an apocalyptic number.

161023230729 is the 401277-th square number.

161023230729 is the 200639-th centered octagonal number.

It is an amenable number.

161023230729 is a deficient number, since it is larger than the sum of its proper divisors (73174914270).

161023230729 is an frugal number, since it uses more digits than its factorization.

161023230729 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1846 (or 923 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

Multiplying 161023230729 by its sum of digits (36), we get a square (5796836306244 = 24076622).

It can be divided in two parts, 1610232 and 30729, that added together give a square (1640961 = 12812).

The spelling of 161023230729 in words is "one hundred sixty-one billion, twenty-three million, two hundred thirty thousand, seven hundred twenty-nine".

Divisors: 1 3 9 181 543 739 1629 2217 6651 32761 98283 133759 294849 401277 546121 1203831 1638363 4915089 24210379 72631137 98847901 217893411 296543703 889631109 17891470081 53674410243 161023230729