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96376097341440 = 21838571601
BaseRepresentation
bin10101111010011101001111…
…000011000000000000000000
3110122020110112221010100000000
4111322131033003000000000
5100113011221404411230
6540550322400000000
726204641351610010
oct2572351703000000
9418213487110000
1096376097341440
112878796747a834
12a986400000000
1341a12c48b1bc7
1419b28b1337c40
15b21e6ba48b60
hex57a74f0c0000

96376097341440 has 1368 divisors, whose sum is σ = 396745555388832. Its totient is φ = 22015062835200.

The previous prime is 96376097341439. The next prime is 96376097341519. The reversal of 96376097341440 is 4414379067369.

96376097341440 is a `hidden beast` number, since 9 + 6 + 3 + 7 + 60 + 97 + 3 + 41 + 440 = 666.

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

It is a nialpdrome in base 12.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 60197436640 + ... + 60197438240.

Almost surely, 296376097341440 is an apocalyptic number.

96376097341440 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 96376097341440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198372777694416).

96376097341440 is an abundant number, since it is smaller than the sum of its proper divisors (300369458047392).

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

96376097341440 is an frugal number, since it uses more digits than its factorization.

96376097341440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1673 (or 1618 counting only the distinct ones).

The product of its (nonzero) digits is 82301184, while the sum is 63.

The spelling of 96376097341440 in words is "ninety-six trillion, three hundred seventy-six billion, ninety-seven million, three hundred forty-one thousand, four hundred forty".