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172129607340 = 223517168754517
BaseRepresentation
bin1010000001001110111…
…0010101111010101100
3121110022000020001012020
42200103232111322230
510310010134413330
6211024130510140
715302350343625
oct2402356257254
9543260201166
10172129607340
1166aaa748739
1229439a35350
1313302210282
14848c82ca4c
1547267b0210
hex2813b95eac

172129607340 has 48 divisors (see below), whose sum is σ = 510313662432. Its totient is φ = 43201156096.

The previous prime is 172129607327. The next prime is 172129607341. The reversal of 172129607340 is 43706921271.

172129607340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 172129607292 and 172129607301.

It is not an unprimeable number, because it can be changed into a prime (172129607341) 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 15 ways as a sum of consecutive naturals, for example, 84376239 + ... + 84378278.

It is an arithmetic number, because the mean of its divisors is an integer number (10631534634).

Almost surely, 2172129607340 is an apocalyptic number.

172129607340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

172129607340 is an abundant number, since it is smaller than the sum of its proper divisors (338184055092).

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

172129607340 is a wasteful number, since it uses less digits than its factorization.

172129607340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168754546 (or 168754544 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 42.

The spelling of 172129607340 in words is "one hundred seventy-two billion, one hundred twenty-nine million, six hundred seven thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 204 255 340 510 1020 168754517 337509034 506263551 675018068 843772585 1012527102 1687545170 2025054204 2531317755 2868826789 3375090340 5062635510 5737653578 8606480367 10125271020 11475307156 14344133945 17212960734 28688267890 34425921468 43032401835 57376535780 86064803670 172129607340