Search a number
-
+
1054437352164 = 22327223210632
BaseRepresentation
bin11110101100000010101…
…11010010001011100100
310201210200112220102221100
433112001113102023210
5114233441430232124
62124222443520100
7136115640416400
oct17260127221344
93653615812840
101054437352164
1137720343a339
12150434b29030
1378582448b21
143906c216100
151c6659721c9
hexf5815d22e4

1054437352164 has 243 divisors, whose sum is σ = 3244267498563. Its totient is φ = 287898123744.

The previous prime is 1054437352153. The next prime is 1054437352169. The reversal of 1054437352164 is 4612537344501.

The square root of 1054437352164 is 1026858.

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

1054437352164 is a `hidden beast` number, since 1 + 0 + 5 + 4 + 437 + 3 + 52 + 164 = 666.

It is a super-2 number, since 2×10544373521642 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1054437352169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 991944297 + ... + 991945359.

Almost surely, 21054437352164 is an apocalyptic number.

1054437352164 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

1054437352164 is the 1026858-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1054437352164

1054437352164 is an abundant number, since it is smaller than the sum of its proper divisors (2189830146399).

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

1054437352164 is a wasteful number, since it uses less digits than its factorization.

1054437352164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2196 (or 1098 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 1054437352164 in words is "one trillion, fifty-four billion, four hundred thirty-seven million, three hundred fifty-two thousand, one hundred sixty-four".