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2023986117120 = 293511711272657
BaseRepresentation
bin11101011100111110111…
…110010011101000000000
321011111021001221211221020
4131130332332103220000
5231130110421221440
64145450102425440
7266141156064462
oct35347676235000
97144231854836
102023986117120
11710405441680
12288318a32280
13118b26a0c696
146dd66314132
15379adb7a3d0
hex1d73ef93a00

2023986117120 has 640 divisors, whose sum is σ = 7217147215872. Its totient is φ = 479762841600.

The previous prime is 2023986117103. The next prime is 2023986117143. The reversal of 2023986117120 is 217116893202.

It is a tau number, because it is divible by the number of its divisors (640).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 761754832 + ... + 761757488.

Almost surely, 22023986117120 is an apocalyptic number.

2023986117120 is a gapful number since it is divisible by the number (20) 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 2023986117120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3608573607936).

2023986117120 is an abundant number, since it is smaller than the sum of its proper divisors (5193161098752).

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

2023986117120 is a wasteful number, since it uses less digits than its factorization.

2023986117120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2892 (or 2876 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 42.

The spelling of 2023986117120 in words is "two trillion, twenty-three billion, nine hundred eighty-six million, one hundred seventeen thousand, one hundred twenty".