Search a number
-
+
1152989929728 = 2832713194353127
BaseRepresentation
bin10000110001110011100…
…011100010000100000000
311002020001211222002212200
4100301303203202010000
5122342310410222403
62241402023353200
7146205110461410
oct20616343420400
94066054862780
101152989929728
11404a8683654a
12167559bb2800
138495a114990
143db3ad3c640
151eed2a9aca3
hex10c738e2100

1152989929728 has 1728 divisors, whose sum is σ = 4525521960960. Its totient is φ = 273898340352.

The previous prime is 1152989929669. The next prime is 1152989929739. The reversal of 1152989929728 is 8279299892511.

1152989929728 is a `hidden beast` number, since 1 + 1 + 529 + 8 + 9 + 9 + 2 + 97 + 2 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 9078660801 + ... + 9078660927.

It is an arithmetic number, because the mean of its divisors is an integer number (2618936320).

Almost surely, 21152989929728 is an apocalyptic number.

1152989929728 is a gapful number since it is divisible by the number (18) 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 1152989929728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2262760980480).

1152989929728 is an abundant number, since it is smaller than the sum of its proper divisors (3372532031232).

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

1152989929728 is a wasteful number, since it uses less digits than its factorization.

1152989929728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 267 counting only the distinct ones).

The product of its digits is 117573120, while the sum is 72.

The spelling of 1152989929728 in words is "one trillion, one hundred fifty-two billion, nine hundred eighty-nine million, nine hundred twenty-nine thousand, seven hundred twenty-eight".