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83108148480 = 2832572344809
BaseRepresentation
bin100110101100110100…
…0011011010100000000
321221111221122101011100
41031121220123110000
52330201141222410
6102102424014400
76001332414660
oct1153150332400
9257457571140
1083108148480
1132278424035
1214134901400
137ab6053a26
1440458941a0
1522662c68c0
hex1359a1b500

83108148480 has 432 divisors, whose sum is σ = 342919100160. Its totient is φ = 18169823232.

The previous prime is 83108148437. The next prime is 83108148499. The reversal of 83108148480 is 8484180138.

83108148480 is a `hidden beast` number, since 8 + 3 + 10 + 81 + 484 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1832316 + ... + 1877124.

Almost surely, 283108148480 is an apocalyptic number.

83108148480 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83108148480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171459550080).

83108148480 is an abundant number, since it is smaller than the sum of its proper divisors (259810951680).

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

83108148480 is a wasteful number, since it uses less digits than its factorization.

83108148480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44866 (or 44849 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 45.

The spelling of 83108148480 in words is "eighty-three billion, one hundred eight million, one hundred forty-eight thousand, four hundred eighty".