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78023895040 = 2115713313773
BaseRepresentation
bin100100010101010010…
…1100010100000000000
321110101121201112121101
41020222211202200000
52234243104120130
655502122504144
75431335110440
oct1105245424000
9243347645541
1078023895040
11300a9500193
1213156065054
137485905a40
143ac2540120
152069c7b1ca
hex122a962800

78023895040 has 768 divisors, whose sum is σ = 247621570560. Its totient is φ = 22932357120.

The previous prime is 78023895017. The next prime is 78023895091. The reversal of 78023895040 is 4059832087.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1068820444 + ... + 1068820516.

It is an arithmetic number, because the mean of its divisors is an integer number (322423920).

Almost surely, 278023895040 is an apocalyptic number.

78023895040 is a gapful number since it is divisible by the number (70) 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 78023895040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123810785280).

78023895040 is an abundant number, since it is smaller than the sum of its proper divisors (169597675520).

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

78023895040 is a wasteful number, since it uses less digits than its factorization.

78023895040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 46.

The spelling of 78023895040 in words is "seventy-eight billion, twenty-three million, eight hundred ninety-five thousand, forty".