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170830531040 = 25513409200807
BaseRepresentation
bin1001111100011001001…
…0110000100111100000
3121022221110210010112012
42133012102300213200
510244330103443130
6210251203052052
715225224361311
oct2370622604740
9538843703465
10170830531040
11664a3421464
1229136971028
1313156039880
1483a80ac608
15469c703995
hex27c64b09e0

170830531040 has 96 divisors (see below), whose sum is σ = 435697133760. Its totient is φ = 62921355264.

The previous prime is 170830531031. The next prime is 170830531063. The reversal of 170830531040 is 40135038071.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 170830530988 and 170830531006.

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 15 ways as a sum of consecutive naturals, for example, 750317 + ... + 951123.

It is an arithmetic number, because the mean of its divisors is an integer number (4538511810).

Almost surely, 2170830531040 is an apocalyptic number.

170830531040 is a gapful number since it is divisible by the number (10) 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 170830531040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217848566880).

170830531040 is an abundant number, since it is smaller than the sum of its proper divisors (264866602720).

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

170830531040 is a wasteful number, since it uses less digits than its factorization.

170830531040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201244 (or 201236 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 32.

The spelling of 170830531040 in words is "one hundred seventy billion, eight hundred thirty million, five hundred thirty-one thousand, forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 160 208 260 409 416 520 818 1040 1636 2045 2080 3272 4090 5317 6544 8180 10634 13088 16360 21268 26585 32720 42536 53170 65440 85072 106340 170144 200807 212680 401614 425360 803228 850720 1004035 1606456 2008070 2610491 3212912 4016140 5220982 6425824 8032280 10441964 13052455 16064560 20883928 26104910 32129120 41767856 52209820 82130063 83535712 104419640 164260126 208839280 328520252 410650315 417678560 657040504 821300630 1067690819 1314081008 1642601260 2135381638 2628162016 3285202520 4270763276 5338454095 6570405040 8541526552 10676908190 13140810080 17083053104 21353816380 34166106208 42707632760 85415265520 170830531040