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493180343824 = 247435832
BaseRepresentation
bin1110010110100111101…
…01101101011000010000
31202010222120211021200011
413023103311231120100
531040013132000244
61014321450204304
750426316520000
oct7132365553020
91663876737604
10493180343824
1118017a4a0913
127b6b9123694
133767830936c
1419c27610000
15cc6708e434
hex72d3d6d610

493180343824 has 75 divisors (see below), whose sum is σ = 1115037942063. Its totient is φ = 211304013984.

The previous prime is 493180343813. The next prime is 493180343849. The reversal of 493180343824 is 428343081394.

The square root of 493180343824 is 702268.

It is a perfect power (a square), and thus also a powerful number.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 137642737 + ... + 137646319.

Almost surely, 2493180343824 is an apocalyptic number.

493180343824 is the 702268-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 493180343824

493180343824 is an abundant number, since it is smaller than the sum of its proper divisors (621857598239).

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

493180343824 is an frugal number, since it uses more digits than its factorization.

493180343824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7202 (or 3592 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 49.

Multiplying 493180343824 by its sum of digits (49), we get a square (24165836847376 = 49158762).

493180343824 divided by its sum of digits (49) gives a square (10064904976 = 1003242).

The spelling of 493180343824 in words is "four hundred ninety-three billion, one hundred eighty million, three hundred forty-three thousand, eight hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 343 392 686 784 1372 2401 2744 3583 4802 5488 7166 9604 14332 19208 25081 28664 38416 50162 57328 100324 175567 200648 351134 401296 702268 1228969 1404536 2457938 2809072 4915876 8602783 9831752 12837889 17205566 19663504 25675778 34411132 51351556 68822264 89865223 102703112 137644528 179730446 205406224 359460892 629056561 718921784 1258113122 1437843568 2516226244 4403395927 5032452488 8806791854 10064904976 17613583708 30823771489 35227167416 61647542978 70454334832 123295085956 246590171912 493180343824