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20231478540 = 223457131931233
BaseRepresentation
bin10010110101111000…
…111101110100001100
31221012222002121010000
4102311320331310030
5312413224303130
613143314444300
71314232505310
oct226570756414
957188077100
1020231478540
1186421622a9
123b07593690
131ba5633ba0
14d9cd3db40
157d6242260
hex4b5e3dd0c

20231478540 has 960 divisors, whose sum is σ = 85240995840. Its totient is φ = 3896709120.

The previous prime is 20231478511. The next prime is 20231478601. The reversal of 20231478540 is 4587413202.

It is a happy number.

20231478540 is a `hidden beast` number, since 20 + 23 + 1 + 4 + 78 + 540 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 20231478495 and 20231478504.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 86830264 + ... + 86830496.

It is an arithmetic number, because the mean of its divisors is an integer number (88792704).

Almost surely, 220231478540 is an apocalyptic number.

20231478540 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 20231478540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42620497920).

20231478540 is an abundant number, since it is smaller than the sum of its proper divisors (65009517300).

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

20231478540 is a wasteful number, since it uses less digits than its factorization.

20231478540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 20231478540 in words is "twenty billion, two hundred thirty-one million, four hundred seventy-eight thousand, five hundred forty".