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172116348068 = 227261711932
BaseRepresentation
bin1010000001001011101…
…1110000110010100100
3121110021002021101220002
42200102323300302210
510304443241114233
6211022534400432
715302126551100
oct2402273606244
9543232241802
10172116348068
1166aa3211865
1229435500118
13132cc54a052
14848ab7a900
1547255416e8
hex2812ef0ca4

172116348068 has 54 divisors (see below), whose sum is σ = 351242003826. Its totient is φ = 73582865664.

The previous prime is 172116348043. The next prime is 172116348083. The reversal of 172116348068 is 860843611271.

It can be written as a sum of positive squares in 3 ways, for example, as 1686087844 + 170430260224 = 41062^2 + 412832^2 .

It is a super-3 number, since 3×1721163480683 (a number of 35 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 144271280 + ... + 144272472.

Almost surely, 2172116348068 is an apocalyptic number.

It is an amenable number.

172116348068 is an abundant number, since it is smaller than the sum of its proper divisors (179125655758).

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

172116348068 is an equidigital number, since it uses as much as digits as its factorization.

172116348068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3021 (or 1819 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 47.

The spelling of 172116348068 in words is "one hundred seventy-two billion, one hundred sixteen million, three hundred forty-eight thousand, sixty-eight".

Divisors: 1 2 4 7 14 28 49 98 196 617 1193 1234 2386 2468 4319 4772 8351 8638 16702 17276 30233 33404 58457 60466 116914 120932 233828 736081 1423249 1472162 2846498 2944324 5152567 5692996 9962743 10305134 19925486 20610268 36067969 39850972 69739201 72135938 139478402 144271876 278956804 878144633 1756289266 3512578532 6147012431 12294024862 24588049724 43029087017 86058174034 172116348068