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996578108230320 = 2432571147937527757
BaseRepresentation
bin1110001010011000011110110…
…0001000011100101010110000
311211200120221021212002112000200
43202212013230020130222300
52021110413431201332240
613451313355043115200
7416625251361120120
oct34246075410345260
94750527255075020
10996578108230320
112695a44473a3a30
1293933620072b00
1333a0cbb2600185
14138148d01b0c80
157a3343c30d930
hex38a61ec21cab0

996578108230320 has 480 divisors, whose sum is σ = 4181396836331520. Its totient is φ = 206648840079360.

The previous prime is 996578108230307. The next prime is 996578108230333. The reversal of 996578108230320 is 23032801875699.

996578108230320 is a `hidden beast` number, since 9 + 9 + 6 + 5 + 78 + 1 + 0 + 8 + 230 + 320 = 666.

It is an interprime number because it is at equal distance from previous prime (996578108230307) and next prime (996578108230333).

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7791882 + ... + 45319638.

It is an arithmetic number, because the mean of its divisors is an integer number (8711243409024).

Almost surely, 2996578108230320 is an apocalyptic number.

996578108230320 is a gapful number since it is divisible by the number (90) 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 996578108230320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2090698418165760).

996578108230320 is an abundant number, since it is smaller than the sum of its proper divisors (3184818728101200).

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

996578108230320 is a wasteful number, since it uses less digits than its factorization.

996578108230320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37528273 (or 37528264 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 63.

The spelling of 996578108230320 in words is "nine hundred ninety-six trillion, five hundred seventy-eight billion, one hundred eight million, two hundred thirty thousand, three hundred twenty".