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172447342240 = 25554112171637
BaseRepresentation
bin1010000010011010101…
…0011001111010100000
3121111010011002122112111
42200212222121322200
510311133004422430
6211115441005104
715313256136505
oct2404652317240
9544104078474
10172447342240
1167153035668
1229508323794
1313352caa4a4
1484bcadb4ac
154744623c2a
hex2826a99ea0

172447342240 has 96 divisors (see below), whose sum is σ = 408744829584. Its totient is φ = 68752834560.

The previous prime is 172447342211. The next prime is 172447342247. The reversal of 172447342240 is 42243744271.

It can be written as a sum of positive squares in 8 ways, for example, as 12604103824 + 159843238416 = 112268^2 + 399804^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 172447342193 and 172447342202.

It is not an unprimeable number, because it can be changed into a prime (172447342247) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 105342702 + ... + 105344338.

Almost surely, 2172447342240 is an apocalyptic number.

172447342240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

172447342240 is an abundant number, since it is smaller than the sum of its proper divisors (236297487344).

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

172447342240 is a wasteful number, since it uses less digits than its factorization.

172447342240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3410 (or 3402 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 40.

The spelling of 172447342240 in words is "one hundred seventy-two billion, four hundred forty-seven million, three hundred forty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 541 1082 1217 1637 2164 2434 2705 3274 4328 4868 5410 6085 6548 8185 8656 9736 10820 12170 13096 16370 17312 19472 21640 24340 26192 32740 38944 43280 48680 52384 65480 86560 97360 130960 194720 261920 658397 885617 1316794 1771234 1992229 2633588 3291985 3542468 3984458 4428085 5267176 6583970 7084936 7968916 8856170 9961145 10534352 13167940 14169872 15937832 17712340 19922290 21068704 26335880 28339744 31875664 35424680 39844580 52671760 63751328 70849360 79689160 105343520 141698720 159378320 318756640 1077795889 2155591778 4311183556 5388979445 8622367112 10777958890 17244734224 21555917780 34489468448 43111835560 86223671120 172447342240