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82470788450 = 25217223892
BaseRepresentation
bin100110011001110100…
…1000101110101100010
321212212112100010120022
41030303221011311202
52322400010212300
6101515255113442
75646463064321
oct1146351056542
9255775303508
1082470788450
1131a80679006
1213b97372882
137a13ca710b
143dc4d840b8
15222a379285
hex1333a45d62

82470788450 has 54 divisors (see below), whose sum is σ = 163017958761. Its totient is φ = 31034830080.

The previous prime is 82470788443. The next prime is 82470788483. The reversal of 82470788450 is 5488707428.

It can be written as a sum of positive squares in 14 ways, for example, as 1491272689 + 80979515761 = 38617^2 + 284569^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=203065.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 82470788392 and 82470788401.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 34519856 + ... + 34522244.

Almost surely, 282470788450 is an apocalyptic number.

82470788450 is a deficient number, since it is larger than the sum of its proper divisors (80547170311).

82470788450 is an equidigital number, since it uses as much as digits as its factorization.

With its predecessor (82470788449) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (2413).

82470788450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4824 (or 2413 counting only the distinct ones).

The product of its (nonzero) digits is 4014080, while the sum is 53.

It can be divided in two parts, 8247078 and 8450, that added together give a palindrome (8255528).

The spelling of 82470788450 in words is "eighty-two billion, four hundred seventy million, seven hundred eighty-eight thousand, four hundred fifty".

Divisors: 1 2 5 10 17 25 34 50 85 170 289 425 578 850 1445 2389 2890 4778 7225 11945 14450 23890 40613 59725 81226 119450 203065 406130 690421 1015325 1380842 2030650 3452105 5707321 6904210 11414642 17260525 28536605 34521050 57073210 97024457 142683025 194048914 285366050 485122285 970244570 1649415769 2425611425 3298831538 4851222850 8247078845 16494157690 41235394225 82470788450