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5347742400 = 26325272111353
BaseRepresentation
bin1001111101100000…
…00001001011000000
3111210200201110110100
410332300001023000
541423010224100
62242352402400
7246344026500
oct47660011300
914720643410
105347742400
1122a4730020
121052b46400
13672c04320
1438a341a00
15214746400
hex13ec012c0

5347742400 has 1512 divisors, whose sum is σ = 26465899824. Its totient is φ = 1006387200.

The previous prime is 5347742399. The next prime is 5347742401. The reversal of 5347742400 is 42477435.

5347742400 is a `hidden beast` number, since 5 + 347 + 74 + 240 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5347742399) and next prime (5347742401).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5347742401) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 100900774 + ... + 100900826.

It is an arithmetic number, because the mean of its divisors is an integer number (17503902).

Almost surely, 25347742400 is an apocalyptic number.

5347742400 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 5347742400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13232949912).

5347742400 is an abundant number, since it is smaller than the sum of its proper divisors (21118157424).

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

5347742400 is a wasteful number, since it uses less digits than its factorization.

5347742400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 36.

The square root of 5347742400 is about 73128.2599273359. The cubic root of 5347742400 is about 1748.7329495070.

It can be divided in two parts, 5347 and 742400, that added together give a palindrome (747747).

The spelling of 5347742400 in words is "five billion, three hundred forty-seven million, seven hundred forty-two thousand, four hundred".