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78336491520 = 2193571423
BaseRepresentation
bin100100011110100111…
…0000000000000000000
321111012101221002100210
41020331032000000000
52240413120212040
655553130514120
75442152122440
oct1107516000000
9244171832323
1078336491520
11302499a8591
1213222895940
1375055c4181
143b11c72120
152087427480
hex123d380000

78336491520 has 320 divisors, whose sum is σ = 286688793600. Its totient is φ = 17892900864.

The previous prime is 78336491491. The next prime is 78336491573. The reversal of 78336491520 is 2519463387.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×783364915202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 78336491520.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55049529 + ... + 55050951.

It is an arithmetic number, because the mean of its divisors is an integer number (895902480).

It is a 2-persistent number, because it is pandigital, and so is 2⋅78336491520 = 156672983040, but 3⋅78336491520 = 235009474560 is not.

Almost surely, 278336491520 is an apocalyptic number.

78336491520 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 78336491520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143344396800).

78336491520 is an abundant number, since it is smaller than the sum of its proper divisors (208352302080).

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

78336491520 is an frugal number, since it uses more digits than its factorization.

78336491520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1476 (or 1440 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 48.

The spelling of 78336491520 in words is "seventy-eight billion, three hundred thirty-six million, four hundred ninety-one thousand, five hundred twenty".