Search a number
-
+
166143690421632 = 2735711217231272
BaseRepresentation
bin100101110001101101010111…
…101001100011010110000000
3210210021011220110010022200000
4211301231113221203112000
5133234044234221443012
61345205205132400000
746665325350213210
oct4561552751432600
9723234813108600
10166143690421632
1148a36163982200
1216773915916000
13719238a365141
142d0557cb32240
151431ba2eeeddc
hex971b57a63580

166143690421632 has 3456 divisors, whose sum is σ = 693597221291520. Its totient is φ = 38543917547520.

The previous prime is 166143690421601. The next prime is 166143690421633. The reversal of 166143690421632 is 236124096341661.

166143690421632 is a `hidden beast` number, since 1 + 6 + 6 + 1 + 436 + 9 + 0 + 42 + 163 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166143690421633) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 1308218034753 + ... + 1308218034879.

It is an arithmetic number, because the mean of its divisors is an integer number (200693640420).

Almost surely, 2166143690421632 is an apocalyptic number.

166143690421632 is a gapful number since it is divisible by the number (12) 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 166143690421632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346798610645760).

166143690421632 is an abundant number, since it is smaller than the sum of its proper divisors (527453530869888).

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

166143690421632 is a wasteful number, since it uses less digits than its factorization.

166143690421632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 54.

The spelling of 166143690421632 in words is "one hundred sixty-six trillion, one hundred forty-three billion, six hundred ninety million, four hundred twenty-one thousand, six hundred thirty-two".