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5358957480 = 2332541675419
BaseRepresentation
bin1001111110110101…
…10011001110101000
3111211110211020122200
410333122303032220
541433343114410
62243433020200
7246541246512
oct47732631650
914743736580
105358957480
1122aaaa0088
121056854660
1367532cc76
1438ba20bb2
1521570e3c0
hex13f6b33a8

5358957480 has 192 divisors, whose sum is σ = 18111038400. Its totient is φ = 1373137920.

The previous prime is 5358957407. The next prime is 5358957523. The reversal of 5358957480 is 847598535.

5358957480 is a `hidden beast` number, since 5 + 3 + 589 + 57 + 4 + 8 + 0 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a zygodrome in base 11.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 986211 + ... + 991629.

It is an arithmetic number, because the mean of its divisors is an integer number (94328325).

Almost surely, 25358957480 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 5358957480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9055519200).

5358957480 is an abundant number, since it is smaller than the sum of its proper divisors (12752080920).

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

5358957480 is a wasteful number, since it uses less digits than its factorization.

5358957480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5544 (or 5537 counting only the distinct ones).

The product of its (nonzero) digits is 6048000, while the sum is 54.

The square root of 5358957480 is about 73204.9006556255. The cubic root of 5358957480 is about 1749.9545544661.

The spelling of 5358957480 in words is "five billion, three hundred fifty-eight million, nine hundred fifty-seven thousand, four hundred eighty".