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61819860496 = 2461210192
BaseRepresentation
bin111001100100110000…
…000011011000010000
312220120022222022000211
4321210300003120100
52003101341013441
644222154053504
74315645100302
oct714460033020
9186508868024
1061819860496
11242437771a9
12bb9341a294
135aa27b2014
142dc6459972
15191c3d0a81
hexe64c03610

61819860496 has 45 divisors (see below), whose sum is σ = 121891328013. Its totient is φ = 30373373760.

The previous prime is 61819860463. The next prime is 61819860497. The reversal of 61819860496 is 69406891816.

The square root of 61819860496 is 248636.

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

It can be written as a sum of positive squares in only one way, i.e., 2010266896 + 59809593600 = 44836^2 + 244560^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 61819860496.

It is not an unprimeable number, because it can be changed into a prime (61819860497) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 60666675 + ... + 60667693.

Almost surely, 261819860496 is an apocalyptic number.

61819860496 is the 248636-th square number.

It is an amenable number.

61819860496 is a deficient number, since it is larger than the sum of its proper divisors (60071467517).

61819860496 is an frugal number, since it uses more digits than its factorization.

61819860496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2168 (or 1082 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 58.

The spelling of 61819860496 in words is "sixty-one billion, eight hundred nineteen million, eight hundred sixty thousand, four hundred ninety-six".

Divisors: 1 2 4 8 16 61 122 244 488 976 1019 2038 3721 4076 7442 8152 14884 16304 29768 59536 62159 124318 248636 497272 994544 1038361 2076722 3791699 4153444 7583398 8306888 15166796 16613776 30333592 60667184 63340021 126680042 253360084 506720168 1013440336 3863741281 7727482562 15454965124 30909930248 61819860496