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61828416312 = 23313198168001
BaseRepresentation
bin111001100101010000…
…101100001100111000
312220120221001222101220
4321211100230030320
52003111033310222
644223101312040
74316110603335
oct714520541470
9186527058356
1061828416312
1124248590323
12bb96265620
135aa44b9430
142dc764598c
15191d020b5c
hexe6542c338

61828416312 has 32 divisors (see below), whose sum is σ = 166461121680. Its totient is φ = 19024128000.

The previous prime is 61828416301. The next prime is 61828416317. The reversal of 61828416312 is 21361482816.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61828416317) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 99083689 + ... + 99084312.

Almost surely, 261828416312 is an apocalyptic number.

It is an amenable number.

61828416312 is an abundant number, since it is smaller than the sum of its proper divisors (104632705368).

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

61828416312 is a wasteful number, since it uses less digits than its factorization.

61828416312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198168023 (or 198168019 counting only the distinct ones).

The product of its digits is 110592, while the sum is 42.

The spelling of 61828416312 in words is "sixty-one billion, eight hundred twenty-eight million, four hundred sixteen thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 312 198168001 396336002 594504003 792672004 1189008006 1585344008 2378016012 2576184013 4756032024 5152368026 7728552039 10304736052 15457104078 20609472104 30914208156 61828416312