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9464449726368 = 25327213293974481
BaseRepresentation
bin1000100110111001110100…
…1010011111011110100000
31020111210101202220112010200
42021232131022133132200
52220031143112220433
632043524100025200
71664532613210200
oct211563512373640
936453352815120
109464449726368
11301993a15089a
12108a335092200
13538655aabba0
1424a1206bc400
151162d32d5613
hex89b9d29f7a0

9464449726368 has 864 divisors, whose sum is σ = 34975422714960. Its totient is φ = 2403438428160.

The previous prime is 9464449726349. The next prime is 9464449726379. The reversal of 9464449726368 is 8636279444649.

9464449726368 is a `hidden beast` number, since 9 + 4 + 64 + 449 + 7 + 2 + 63 + 68 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 5252218899984 + 4212230826384 = 2291772^2 + 2052372^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

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

It is a junction number, because it is equal to n+sod(n) for n = 9464449726296 and 9464449726305.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2112126688 + ... + 2112131168.

Almost surely, 29464449726368 is an apocalyptic number.

9464449726368 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 9464449726368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17487711357480).

9464449726368 is an abundant number, since it is smaller than the sum of its proper divisors (25510972988592).

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

9464449726368 is a wasteful number, since it uses less digits than its factorization.

9464449726368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4950 (or 4932 counting only the distinct ones).

The product of its digits is 1504935936, while the sum is 72.

The spelling of 9464449726368 in words is "nine trillion, four hundred sixty-four billion, four hundred forty-nine million, seven hundred twenty-six thousand, three hundred sixty-eight".