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172158392320 = 2115156710729
BaseRepresentation
bin1010000001010101110…
…0001001100000000000
3121110101000101110202121
42200111130021200000
510310040022023240
6211031035454024
715303150122065
oct2402534114000
9543330343677
10172158392320
1167014a19282
12294475b7314
131330817b1c5
1484925a2c6c
15472909904a
hex2815709800

172158392320 has 96 divisors (see below), whose sum is σ = 413381404800. Its totient is φ = 68812996608.

The previous prime is 172158392297. The next prime is 172158392383. The reversal of 172158392320 is 23293851271.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16040716 + ... + 16051444.

It is an arithmetic number, because the mean of its divisors is an integer number (4306056300).

Almost surely, 2172158392320 is an apocalyptic number.

172158392320 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 172158392320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206690702400).

172158392320 is an abundant number, since it is smaller than the sum of its proper divisors (241223012480).

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

172158392320 is a wasteful number, since it uses less digits than its factorization.

172158392320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12323 (or 12303 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 43.

The spelling of 172158392320 in words is "one hundred seventy-two billion, one hundred fifty-eight million, three hundred ninety-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1024 1280 1567 2048 2560 3134 5120 6268 7835 10240 10729 12536 15670 21458 25072 31340 42916 50144 53645 62680 85832 100288 107290 125360 171664 200576 214580 250720 343328 401152 429160 501440 686656 802304 858320 1002880 1373312 1604608 1716640 2005760 2746624 3209216 3433280 4011520 5493248 6866560 8023040 10986496 13733120 16046080 16812343 21972992 27466240 33624686 54932480 67249372 84061715 109864960 134498744 168123430 268997488 336246860 537994976 672493720 1075989952 1344987440 2151979904 2689974880 4303959808 5379949760 8607919616 10759899520 17215839232 21519799040 34431678464 43039598080 86079196160 172158392320