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5154425640 = 233257313319
BaseRepresentation
bin1001100110011101…
…00100101100101000
3111022012221221201100
410303032210230220
541024013110030
62211245121400
7241505616000
oct46316445450
914265857640
105154425640
1122055a2301
12bba259260
13641b4a000
1436c7bd000
152027ac360
hex1333a4b28

5154425640 has 768 divisors, whose sum is σ = 22276800000. Its totient is φ = 1030288896.

The previous prime is 5154425629. The next prime is 5154425663. The reversal of 5154425640 is 465244515.

5154425640 is a `hidden beast` number, since 5 + 1 + 5 + 4 + 4 + 2 + 5 + 640 = 666.

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 = 5154425595 and 5154425604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 271285551 + ... + 271285569.

It is an arithmetic number, because the mean of its divisors is an integer number (29006250).

Almost surely, 25154425640 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 5154425640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11138400000).

5154425640 is an abundant number, since it is smaller than the sum of its proper divisors (17122374360).

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

5154425640 is a wasteful number, since it uses less digits than its factorization.

5154425640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

The square root of 5154425640 is about 71794.3287453821. The cubic root of 5154425640 is about 1727.4020323613.

The spelling of 5154425640 in words is "five billion, one hundred fifty-four million, four hundred twenty-five thousand, six hundred forty".