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5374596160 = 26546136433
BaseRepresentation
bin1010000000101100…
…11101010001000000
3111212120020202220001
411000112131101000
542001344034120
62245152125344
7250121212363
oct50026352100
914776222801
105374596160
11230890170a
12105bb36854
1367864721b
1438db320da
15216c9ce0a
hex14059d440

5374596160 has 56 divisors (see below), whose sum is σ = 12826371096. Its totient is φ = 2145116160.

The previous prime is 5374596131. The next prime is 5374596163. The reversal of 5374596160 is 616954735.

It can be written as a sum of positive squares in 4 ways, for example, as 1012257856 + 4362338304 = 31816^2 + 66048^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 5374596160.

It is not an unprimeable number, because it can be changed into a prime (5374596163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 129304 + ... + 165736.

It is an arithmetic number, because the mean of its divisors is an integer number (229042341).

Almost surely, 25374596160 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 5374596160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6413185548).

5374596160 is an abundant number, since it is smaller than the sum of its proper divisors (7451774936).

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

5374596160 is a wasteful number, since it uses less digits than its factorization.

5374596160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36911 (or 36901 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 46.

The square root of 5374596160 is about 73311.6372754012. The cubic root of 5374596160 is about 1751.6551589466.

The spelling of 5374596160 in words is "five billion, three hundred seventy-four million, five hundred ninety-six thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 461 922 1844 2305 3688 4610 7376 9220 14752 18440 29504 36433 36880 72866 73760 145732 147520 182165 291464 364330 582928 728660 1165856 1457320 2331712 2914640 5829280 11658560 16795613 33591226 67182452 83978065 134364904 167956130 268729808 335912260 537459616 671824520 1074919232 1343649040 2687298080 5374596160