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159722671400 = 23527312019109
BaseRepresentation
bin1001010011000000110…
…1101000110100101000
3120021021100101101200022
42110300031220310220
510104103000441100
6201213043100012
714353035210005
oct2246015506450
9507240341608
10159722671400
1161813314076
1226b56971608
13120a5979166
147a32b628ac
15424c45ae85
hex2530368d28

159722671400 has 96 divisors (see below), whose sum is σ = 376797070200. Its totient is φ = 62954496000.

The previous prime is 159722671387. The next prime is 159722671439. The reversal of 159722671400 is 4176227951.

It can be written as a sum of positive squares in 12 ways, for example, as 14773430116 + 144949241284 = 121546^2 + 380722^2 .

It is a super-2 number, since 2×1597226714002 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17530046 + ... + 17539154.

Almost surely, 2159722671400 is an apocalyptic number.

159722671400 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 159722671400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188398535100).

159722671400 is an abundant number, since it is smaller than the sum of its proper divisors (217074398800).

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

159722671400 is a wasteful number, since it uses less digits than its factorization.

159722671400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10399 (or 10390 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 44.

The spelling of 159722671400 in words is "one hundred fifty-nine billion, seven hundred twenty-two million, six hundred seventy-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 73 100 146 200 292 365 584 730 1201 1460 1825 2402 2920 3650 4804 6005 7300 9109 9608 12010 14600 18218 24020 30025 36436 45545 48040 60050 72872 87673 91090 120100 175346 182180 227725 240200 350692 364360 438365 455450 664957 701384 876730 910900 1329914 1753460 1821800 2191825 2659828 3324785 3506920 4383650 5319656 6649570 8767300 10939909 13299140 16623925 17534600 21879818 26598280 33247850 43759636 54699545 66495700 87519272 109399090 132991400 218798180 273497725 437596360 546995450 798613357 1093990900 1597226714 2187981800 3194453428 3993066785 6388906856 7986133570 15972267140 19965333925 31944534280 39930667850 79861335700 159722671400