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138499816 = 237131719231
BaseRepresentation
bin10000100000101…
…01011011101000
3100122121112000211
420100111123220
5240423443231
621424310504
73301141360
oct1020253350
9318545024
10138499816
11711a7a64
123a472434
1322903570
14145739a0
15c25beb1
hex84156e8

138499816 has 192 divisors, whose sum is σ = 368686080. Its totient is φ = 47278080.

The previous prime is 138499811. The next prime is 138499817. The reversal of 138499816 is 618994831.

It is a Smith number, since the sum of its digits (49) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 138499816.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138499811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4467721 + ... + 4467751.

It is an arithmetic number, because the mean of its divisors is an integer number (1920240).

Almost surely, 2138499816 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 138499816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184343040).

138499816 is an abundant number, since it is smaller than the sum of its proper divisors (230186264).

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

138499816 is a wasteful number, since it uses less digits than its factorization.

138499816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 89 counting only the distinct ones).

The product of its digits is 373248, while the sum is 49.

The square root of 138499816 is about 11768.5944785263. The cubic root of 138499816 is about 517.3880560994.

The spelling of 138499816 in words is "one hundred thirty-eight million, four hundred ninety-nine thousand, eight hundred sixteen".