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172056525020 = 2251719227117331
BaseRepresentation
bin1010000000111101011…
…1100011100011011100
3121110002220201002002122
42200033113203203130
510304332432300040
6211013000242112
715300502221632
oct2401727434334
9543086632078
10172056525020
1166a72471926
1229419470338
13132c00327b3
148482c47352
1547201761b5
hex280f5e38dc

172056525020 has 96 divisors (see below), whose sum is σ = 404485643520. Its totient is φ = 61094200320.

The previous prime is 172056525013. The next prime is 172056525029. The reversal of 172056525020 is 20525650271.

172056525020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (172056525029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1407755 + ... + 1525085.

It is an arithmetic number, because the mean of its divisors is an integer number (4213392120).

Almost surely, 2172056525020 is an apocalyptic number.

172056525020 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 172056525020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202242821760).

172056525020 is an abundant number, since it is smaller than the sum of its proper divisors (232429118500).

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

172056525020 is a wasteful number, since it uses less digits than its factorization.

172056525020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117603 (or 117601 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 35.

The spelling of 172056525020 in words is "one hundred seventy-two billion, fifty-six million, five hundred twenty-five thousand, twenty".

Divisors: 1 2 4 5 10 17 19 20 34 38 68 76 85 95 170 190 227 323 340 380 454 646 908 1135 1292 1615 2270 3230 3859 4313 4540 6460 7718 8626 15436 17252 19295 21565 38590 43130 73321 77180 86260 117331 146642 234662 293284 366605 469324 586655 733210 1173310 1466420 1994627 2229289 2346620 3989254 4458578 7978508 8917156 9973135 11146445 19946270 22292890 26634137 37897913 39892540 44585780 53268274 75795826 106536548 133170685 151591652 189489565 266341370 378979130 452780329 506048603 532682740 757958260 905560658 1012097206 1811121316 2024194412 2263901645 2530243015 4527803290 5060486030 8602826251 9055606580 10120972060 17205652502 34411305004 43014131255 86028262510 172056525020