Search a number
-
+
5193743100 = 223527131719231
BaseRepresentation
bin1001101011001001…
…00011101011111100
3111101221221111010120
410311210203223330
541114044234400
62215211534540
7242464042110
oct46544435374
914357844116
105193743100
112225807077
12100b45a450
1364a034c90
14373ad5740
15205e76ca0
hex135923afc

5193743100 has 864 divisors, whose sum is σ = 21334634496. Its totient is φ = 945561600.

The previous prime is 5193743039. The next prime is 5193743143. The reversal of 5193743100 is 13473915.

It is a super-2 number, since 2×51937431002 = 53949934777595220000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 167540085 + ... + 167540115.

It is an arithmetic number, because the mean of its divisors is an integer number (24692864).

Almost surely, 25193743100 is an apocalyptic number.

5193743100 is a gapful number since it is divisible by the number (50) 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 5193743100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10667317248).

5193743100 is an abundant number, since it is smaller than the sum of its proper divisors (16140891396).

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

5193743100 is a wasteful number, since it uses less digits than its factorization.

5193743100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 33.

The square root of 5193743100 is about 72067.6286553124. The cubic root of 5193743100 is about 1731.7830636597.

The spelling of 5193743100 in words is "five billion, one hundred ninety-three million, seven hundred forty-three thousand, one hundred".