Search a number
-
+
1358720913672 = 2332371079714909
BaseRepresentation
bin10011110001011010000…
…100111101000100001000
311210220002121002221101200
4103301122010331010020
5134230130023214142
62520104320344200
7200110241131413
oct23613204750410
94726077087350
101358720913672
11484259596811
1219b3b4a75060
139b18585c8c5
1449a96202b7a
152552421964c
hex13c5a13d108

1358720913672 has 192 divisors, whose sum is σ = 3819352305600. Its totient is φ = 436009443840.

The previous prime is 1358720913661. The next prime is 1358720913689. The reversal of 1358720913672 is 2763190278531.

1358720913672 is a `hidden beast` number, since 1 + 3 + 587 + 20 + 9 + 1 + 36 + 7 + 2 = 666.

It is a super-2 number, since 2×13587209136722 (a number of 25 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 276779154 + ... + 276784062.

It is an arithmetic number, because the mean of its divisors is an integer number (19892459925).

Almost surely, 21358720913672 is an apocalyptic number.

1358720913672 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 1358720913672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1909676152800).

1358720913672 is an abundant number, since it is smaller than the sum of its proper divisors (2460631391928).

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

1358720913672 is a wasteful number, since it uses less digits than its factorization.

1358720913672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6036 (or 6029 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 1358720913672 in words is "one trillion, three hundred fifty-eight billion, seven hundred twenty million, nine hundred thirteen thousand, six hundred seventy-two".