Search a number
-
+
1672142727360 = 26357418373121
BaseRepresentation
bin11000010101010011011…
…110010010100011000000
312220212002111112202012110
4120111103132102203000
5204344022014233420
63320101033455320
7231544153445160
oct30252336224300
95825074482173
101672142727360
11595173a82316
122300a5271540
13c18b426b5b1
145ad09b125a0
152d769d9bee0
hex185537928c0

1672142727360 has 448 divisors, whose sum is σ = 6290448159744. Its totient is φ = 368384409600.

The previous prime is 1672142727331. The next prime is 1672142727379. The reversal of 1672142727360 is 637272412761.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×16721427273602 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22831600 + ... + 22904720.

It is an arithmetic number, because the mean of its divisors is an integer number (14041178928).

Almost surely, 21672142727360 is an apocalyptic number.

1672142727360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1672142727360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3145224079872).

1672142727360 is an abundant number, since it is smaller than the sum of its proper divisors (4618305432384).

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

1672142727360 is a wasteful number, since it uses less digits than its factorization.

1672142727360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73272 (or 73262 counting only the distinct ones).

The product of its (nonzero) digits is 1185408, while the sum is 48.

The spelling of 1672142727360 in words is "one trillion, six hundred seventy-two billion, one hundred forty-two million, seven hundred twenty-seven thousand, three hundred sixty".