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31120764468 = 2231719233111261
BaseRepresentation
bin11100111110111100…
…010010111000110100
32222022212012122012020
4130332330102320310
51002213403430333
622144025553140
72151126063513
oct347674227064
988285178166
1031120764468
111221a950a62
1260463457b0
132c1c636141
14171323067a
15c222123b3
hex73ef12e34

31120764468 has 192 divisors, whose sum is σ = 87184097280. Its totient is φ = 8561203200.

The previous prime is 31120764457. The next prime is 31120764469. The reversal of 31120764468 is 86446702113.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31120764469) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2757958 + ... + 2769218.

It is an arithmetic number, because the mean of its divisors is an integer number (454083840).

Almost surely, 231120764468 is an apocalyptic number.

31120764468 is a gapful number since it is divisible by the number (38) 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 31120764468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43592048640).

31120764468 is an abundant number, since it is smaller than the sum of its proper divisors (56063332812).

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

31120764468 is a wasteful number, since it uses less digits than its factorization.

31120764468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11358 (or 11356 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The spelling of 31120764468 in words is "thirty-one billion, one hundred twenty million, seven hundred sixty-four thousand, four hundred sixty-eight".