Search a number
-
+
5393641680 = 2432572172232
BaseRepresentation
bin1010000010111110…
…00111000011010000
3111220220002101102200
411001133013003100
542021233013210
62251112243200
7250442124600
oct50137070320
914826071380
105393641680
11231862a909
1210663a0500
1367c58506b
1439248cc00
152187b10c0
hex1417c70d0

5393641680 has 810 divisors, whose sum is σ = 23398857846. Its totient is φ = 1109864448.

The previous prime is 5393641597. The next prime is 5393641691. The reversal of 5393641680 is 861463935.

5393641680 is a `hidden beast` number, since 539 + 36 + 4 + 1 + 6 + 80 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 1806590016 + 3587051664 = 42504^2 + 59892^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 161 ways as a sum of consecutive naturals, for example, 234506149 + ... + 234506171.

Almost surely, 25393641680 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5393641680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11699428923).

5393641680 is an abundant number, since it is smaller than the sum of its proper divisors (18005216166).

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

5393641680 is a wasteful number, since it uses less digits than its factorization.

5393641680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 5393641680 is about 73441.4166530031. The cubic root of 5393641680 is about 1753.7217858043.

Multiplying 5393641680 by its sum of digits (45), we get a square (242713875600 = 4926602).

5393641680 divided by its sum of digits (45) gives a square (119858704 = 109482).

The spelling of 5393641680 in words is "five billion, three hundred ninety-three million, six hundred forty-one thousand, six hundred eighty".