Search a number
-
+
5203207152 = 24331121321931
BaseRepresentation
bin1001101100010001…
…01010001111110000
3111102121202022101000
410312020222033300
541124010112102
62220150442000
7242640350103
oct46610521760
914377668330
105203207152
112230090600
121012663300
1364bc99900
1437507a73a
15206be601c
hex13622a3f0

5203207152 has 720 divisors, whose sum is σ = 19315430400. Its totient is φ = 1334361600.

The previous prime is 5203207123. The next prime is 5203207157. The reversal of 5203207152 is 2517023025.

5203207152 is a `hidden beast` number, since 520 + 3 + 20 + 71 + 52 = 666.

It is a super-2 number, since 2×52032071522 = 54146729333247902208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5203207157) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 167845377 + ... + 167845407.

Almost surely, 25203207152 is an apocalyptic number.

5203207152 is a gapful number since it is divisible by the number (52) 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 5203207152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9657715200).

5203207152 is an abundant number, since it is smaller than the sum of its proper divisors (14112223248).

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

5203207152 is a wasteful number, since it uses less digits than its factorization.

5203207152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 5203207152 is about 72133.2596795681. The cubic root of 5203207152 is about 1732.8343119026.

The spelling of 5203207152 in words is "five billion, two hundred three million, two hundred seven thousand, one hundred fifty-two".