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31819119696 = 243271329313773
BaseRepresentation
bin11101101000100100…
…010011110001010000
310001010112021202110200
4131220210103301100
51010131143312241
622341214055200
72204336024550
oct355044236120
9101115252420
1031819119696
1112549077641
1262001aa500
13300121a9a0
14177bc9b160
15c636ac4b6
hex768913c50

31819119696 has 960 divisors, whose sum is σ = 121845534720. Its totient is φ = 7524679680.

The previous prime is 31819119653. The next prime is 31819119713. The reversal of 31819119696 is 69691191813.

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 an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 435878316 + ... + 435878388.

It is an arithmetic number, because the mean of its divisors is an integer number (126922432).

Almost surely, 231819119696 is an apocalyptic number.

31819119696 is a gapful number since it is divisible by the number (36) 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 31819119696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60922767360).

31819119696 is an abundant number, since it is smaller than the sum of its proper divisors (90026415024).

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

31819119696 is a wasteful number, since it uses less digits than its factorization.

31819119696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 195 counting only the distinct ones).

The product of its digits is 629856, while the sum is 54.

The spelling of 31819119696 in words is "thirty-one billion, eight hundred nineteen million, one hundred nineteen thousand, six hundred ninety-six".