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166726166440 = 235149155318013
BaseRepresentation
bin1001101101000110100…
…1110110011110101000
3120221100102200210202111
42123101221312132220
510212423344311230
6204332024212104
715021426013621
oct2332151663650
9527312623674
10166726166440
11647876355a9
122839030a034
1312950906b72
1480d8d4ca48
15450c21592a
hex26d1a767a8

166726166440 has 64 divisors (see below), whose sum is σ = 377915706000. Its totient is φ = 66196549632.

The previous prime is 166726166407. The next prime is 166726166441. The reversal of 166726166440 is 44661627661.

166726166440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 41754018244 + 124972148196 = 204338^2 + 353514^2 .

It is a super-2 number, since 2×1667261664402 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (166726166441) 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, 9246874 + ... + 9264886.

Almost surely, 2166726166440 is an apocalyptic number.

166726166440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

166726166440 is an abundant number, since it is smaller than the sum of its proper divisors (211189539560).

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

166726166440 is a wasteful number, since it uses less digits than its factorization.

166726166440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19726 (or 19722 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 49.

It can be divided in two parts, 16672616 and 6440, that added together give a square (16679056 = 40842).

The spelling of 166726166440 in words is "one hundred sixty-six billion, seven hundred twenty-six million, one hundred sixty-six thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 149 298 596 745 1192 1490 1553 2980 3106 5960 6212 7765 12424 15530 18013 31060 36026 62120 72052 90065 144104 180130 231397 360260 462794 720520 925588 1156985 1851176 2313970 2683937 4627940 5367874 9255880 10735748 13419685 21471496 26839370 27974189 53678740 55948378 107357480 111896756 139870945 223793512 279741890 559483780 1118967560 4168154161 8336308322 16672616644 20840770805 33345233288 41681541610 83363083220 166726166440