Search a number
-
+
160831538136 = 233237318118979
BaseRepresentation
bin1001010111001001001…
…1101000001111011000
3120101010121220122212200
42111302103220033120
510113340333210021
6201515054010200
714422361342433
oct2256223501730
9511117818780
10160831538136
1162232235065
12272061a6960
1312221612919
147ada12c81a
1542b4994126
hex25724e83d8

160831538136 has 96 divisors (see below), whose sum is σ = 447522207600. Its totient is φ = 52142434560.

The previous prime is 160831538113. The next prime is 160831538137. The reversal of 160831538136 is 631835138061.

160831538136 is a `hidden beast` number, since 1 + 6 + 0 + 83 + 1 + 538 + 1 + 36 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 160831538091 and 160831538100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (160831538137) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8464695 + ... + 8483673.

Almost surely, 2160831538136 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 160831538136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223761103800).

160831538136 is an abundant number, since it is smaller than the sum of its proper divisors (286690669464).

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

160831538136 is a wasteful number, since it uses less digits than its factorization.

160831538136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22209 (or 22202 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 160831538136 in words is "one hundred sixty billion, eight hundred thirty-one million, five hundred thirty-eight thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 37 72 74 111 148 222 296 333 444 666 888 1332 2664 3181 6362 9543 12724 18979 19086 25448 28629 37958 38172 56937 57258 75916 76344 113874 114516 117697 151832 170811 227748 229032 235394 341622 353091 455496 470788 683244 702223 706182 941576 1059273 1366488 1404446 1412364 2106669 2118546 2808892 2824728 4213338 4237092 5617784 6320007 8426676 8474184 12640014 16853352 25280028 50560056 60372199 120744398 181116597 241488796 362233194 482977592 543349791 724466388 1086699582 1448932776 2173399164 2233771363 4346798328 4467542726 6701314089 8935085452 13402628178 17870170904 20103942267 26805256356 40207884534 53610512712 80415769068 160831538136