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83108481400 = 23527172192569
BaseRepresentation
bin100110101100110100…
…1101100100101111000
321221111222021021211201
41031121221230211320
52330201232401100
6102102435103544
76001335302410
oct1153151544570
9257458237751
1083108481400
113227863117a
1214134a41bb4
137ab613c419
14404593d640
15226634036a
hex1359a6c978

83108481400 has 432 divisors, whose sum is σ = 248016826800. Its totient is φ = 25362063360.

The previous prime is 83108481317. The next prime is 83108481403. The reversal of 83108481400 is 418480138.

It is a super-2 number, since 2×831084814002 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 83108481400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83108481403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 146060316 + ... + 146060884.

It is an arithmetic number, because the mean of its divisors is an integer number (574113025).

Almost surely, 283108481400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83108481400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124008413400).

83108481400 is an abundant number, since it is smaller than the sum of its proper divisors (164908345400).

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

83108481400 is a wasteful number, since it uses less digits than its factorization.

83108481400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 664 (or 619 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 37.

The spelling of 83108481400 in words is "eighty-three billion, one hundred eight million, four hundred eighty-one thousand, four hundred".