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5045426640 = 2432579107829
BaseRepresentation
bin1001011001011101…
…10001100111010000
3111000121212020012100
410230232301213100
540313112123030
62152353000400
7236013263442
oct45456614720
914017766170
105045426640
11215a014791
12b89853100
136253a5467
1435c128492
151e7e2b360
hex12cbb19d0

5045426640 has 240 divisors, whose sum is σ = 17339961600. Its totient is φ = 1314413568.

The previous prime is 5045426627. The next prime is 5045426657. The reversal of 5045426640 is 466245405.

5045426640 is a `hidden beast` number, since 5 + 0 + 4 + 5 + 4 + 2 + 6 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a junction number, because it is equal to n+sod(n) for n = 5045426595 and 5045426604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6085746 + ... + 6086574.

It is an arithmetic number, because the mean of its divisors is an integer number (72249840).

Almost surely, 25045426640 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 5045426640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8669980800).

5045426640 is an abundant number, since it is smaller than the sum of its proper divisors (12294534960).

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

5045426640 is a wasteful number, since it uses less digits than its factorization.

5045426640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1034 (or 1025 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The square root of 5045426640 is about 71031.1666805495. The cubic root of 5045426640 is about 1715.1389064902.

The spelling of 5045426640 in words is "five billion, forty-five million, four hundred twenty-six thousand, six hundred forty".