Search a number
-
+
5938845696 = 21133767229
BaseRepresentation
bin1011000011111101…
…11001100000000000
3120022212222121202000
411201332321200000
544130321030241
62421150024000
7300112232640
oct54176714000
916285877660
105938845696
112578361743
121198aa8000
137385065a4
14404a50520
1524b5a7eb6
hex161fb9800

5938845696 has 384 divisors, whose sum is σ = 20494656000. Its totient is φ = 1664188416.

The previous prime is 5938845683. The next prime is 5938845697. The reversal of 5938845696 is 6965488395.

5938845696 is a `hidden beast` number, since 5 + 93 + 8 + 8 + 456 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5938845697) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25933710 + ... + 25933938.

It is an arithmetic number, because the mean of its divisors is an integer number (53371500).

Almost surely, 25938845696 is an apocalyptic number.

5938845696 is a gapful number since it is divisible by the number (56) 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 5938845696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10247328000).

5938845696 is an abundant number, since it is smaller than the sum of its proper divisors (14555810304).

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

5938845696 is a wasteful number, since it uses less digits than its factorization.

5938845696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334 (or 308 counting only the distinct ones).

The product of its digits is 55987200, while the sum is 63.

The square root of 5938845696 is about 77063.9065711050. The cubic root of 5938845696 is about 1810.9259017429.

The spelling of 5938845696 in words is "five billion, nine hundred thirty-eight million, eight hundred forty-five thousand, six hundred ninety-six".