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83499060480 = 283511317312
BaseRepresentation
bin100110111000011101…
…1101000110100000000
321222112012012202121120
41031300323220310000
52332001224413410
6102205310352240
76014120206053
oct1156073506400
9258465182546
1083499060480
1132459052000
12142237bb680
137b490328c4
144081770a9a
15228a792570
hex1370ee8d00

83499060480 has 864 divisors, whose sum is σ = 320918661504. Its totient is φ = 18436915200.

The previous prime is 83499060451. The next prime is 83499060523. The reversal of 83499060480 is 8406099438.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2693518065 + ... + 2693518095.

It is an arithmetic number, because the mean of its divisors is an integer number (371433636).

Almost surely, 283499060480 is an apocalyptic number.

83499060480 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 83499060480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160459330752).

83499060480 is an abundant number, since it is smaller than the sum of its proper divisors (237419601024).

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

83499060480 is a wasteful number, since it uses less digits than its factorization.

83499060480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 51.

The spelling of 83499060480 in words is "eighty-three billion, four hundred ninety-nine million, sixty thousand, four hundred eighty".