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161829537930 = 23451489134177
BaseRepresentation
bin1001011010110111001…
…0101100100010001010
3120110201011211022020000
42112231302230202022
510122411330203210
6202202104343430
714456200243014
oct2265562544212
9513634738200
10161829537930
11626a4612085
1227444474b76
13123502cc548
147b928b91b4
1543223ccac0
hex25adcac88a

161829537930 has 80 divisors (see below), whose sum is σ = 435437129160. Its totient is φ = 43125239808.

The previous prime is 161829537929. The next prime is 161829537959. The reversal of 161829537930 is 39735928161.

161829537930 is a `hidden beast` number, since 1 + 6 + 18 + 2 + 9 + 537 + 93 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 144309574161 + 17519963769 = 379881^2 + 132363^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1139002 + ... + 1273178.

Almost surely, 2161829537930 is an apocalyptic number.

161829537930 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 161829537930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217718564580).

161829537930 is an abundant number, since it is smaller than the sum of its proper divisors (273607591230).

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

161829537930 is a wasteful number, since it uses less digits than its factorization.

161829537930 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135685 (or 135676 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 54.

The spelling of 161829537930 in words is "one hundred sixty-one billion, eight hundred twenty-nine million, five hundred thirty-seven thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 270 405 810 1489 2978 4467 7445 8934 13401 14890 22335 26802 40203 44670 67005 80406 120609 134010 134177 201015 241218 268354 402030 402531 603045 670885 805062 1206090 1207593 1341770 2012655 2415186 3622779 4025310 6037965 7245558 10868337 12075930 18113895 21736674 36227790 54341685 108683370 199789553 399579106 599368659 998947765 1198737318 1798105977 1997895530 2996843295 3596211954 5394317931 5993686590 8990529885 10788635862 16182953793 17981059770 26971589655 32365907586 53943179310 80914768965 161829537930