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119216743124164 = 2272179243572
BaseRepresentation
bin11011000110110101001111…
…101000000000110011000100
3120122010000020210210010110121
4123012311033220000303010
5111111221342214433124
61101315225443431324
734053061013453200
oct3306651750006304
9518100223703417
10119216743124164
1134a9359a579514
1211455006085544
13516a12419447a
14216219a63bb00
15dbb17b1e92e4
hex6c6d4fa00cc4

119216743124164 has 81 divisors (see below), whose sum is σ = 244110645609453. Its totient is φ = 50795793661536.

The previous prime is 119216743124159. The next prime is 119216743124207. The reversal of 119216743124164 is 461421347612911.

The square root of 119216743124164 is 10918642.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 119107319776900 + 109423347264 = 10913630^2 + 330792^2 .

It is a super-2 number, since 2×1192167431241642 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 27362114674 + ... + 27362119030.

Almost surely, 2119216743124164 is an apocalyptic number.

119216743124164 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

119216743124164 is the 10918642-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 119216743124164

119216743124164 is an abundant number, since it is smaller than the sum of its proper divisors (124893902485289).

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

119216743124164 is an frugal number, since it uses more digits than its factorization.

119216743124164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9090 (or 4545 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 52.

The spelling of 119216743124164 in words is "one hundred nineteen trillion, two hundred sixteen billion, seven hundred forty-three million, one hundred twenty-four thousand, one hundred sixty-four".

Divisors: 1 2 4 7 14 28 49 98 179 196 358 716 1253 2506 4357 5012 8714 8771 17428 17542 30499 32041 35084 60998 64082 121996 128164 213493 224287 426986 448574 779903 853972 897148 1559806 1570009 3119612 3140018 5459321 6280036 10918642 18983449 21837284 37966898 38215247 75933796 76430494 132884143 139602637 152860988 265768286 279205274 531536572 558410548 930189001 977218459 1860378002 1954436918 3398037371 3720756004 3908873836 6796074742 6840529213 13592149484 13681058426 23786261597 27362116852 47572523194 95145046388 166503831179 333007662358 608248689409 666015324716 1216497378818 2432994757636 4257740825863 8515481651726 17030963303452 29804185781041 59608371562082 119216743124164