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96714178848 = 2538731779
BaseRepresentation
bin101101000010010011…
…1010100000100100000
3100020122011210100000000
41122010213110010200
53041032312210343
6112232504300000
76662444646000
oct1320447240440
9306564710000
1096714178848
113801a6a6031
12168b1471600
139173b53081
1449768d6000
1527b0a37ed3
hex16849d4120

96714178848 has 864 divisors, whose sum is σ = 357110208000. Its totient is φ = 25677969408.

The previous prime is 96714178817. The next prime is 96714178849. The reversal of 96714178848 is 84887141769.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (21676032) is a multiple of the sum of its prime divisors (108).

It is not an unprimeable number, because it can be changed into a prime (96714178849) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1224230073 + ... + 1224230151.

It is an arithmetic number, because the mean of its divisors is an integer number (413322000).

Almost surely, 296714178848 is an apocalyptic number.

96714178848 is a gapful number since it is divisible by the number (98) 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 96714178848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178555104000).

96714178848 is an abundant number, since it is smaller than the sum of its proper divisors (260396029152).

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

96714178848 is an frugal number, since it uses more digits than its factorization.

96714178848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 108 counting only the distinct ones).

The product of its digits is 21676032, while the sum is 63.

The spelling of 96714178848 in words is "ninety-six billion, seven hundred fourteen million, one hundred seventy-eight thousand, eight hundred forty-eight".