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9953663930496 = 2733112131830967
BaseRepresentation
bin1001000011011000010010…
…0110100101000010000000
31022020120010221202000222000
42100312010212211002000
52301040100431233441
633100352230144000
72045062033300536
oct220660446450200
938216127660860
109953663930496
113198363885200
121149105ab2000
1357281b4c0910
14265a8d270156
15123db708c2b6
hex90d849a5080

9953663930496 has 384 divisors, whose sum is σ = 34774476643200. Its totient is φ = 2784240138240.

The previous prime is 9953663930491. The next prime is 9953663930521. The reversal of 9953663930496 is 6940393663599.

9953663930496 is a `hidden beast` number, since 9 + 95 + 3 + 66 + 393 + 0 + 4 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is not an unprimeable number, because it can be changed into a prime (9953663930491) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4520805 + ... + 6351771.

It is an arithmetic number, because the mean of its divisors is an integer number (90558532925).

Almost surely, 29953663930496 is an apocalyptic number.

9953663930496 is a gapful number since it is divisible by the number (96) 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 9953663930496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17387238321600).

9953663930496 is an abundant number, since it is smaller than the sum of its proper divisors (24820812712704).

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

9953663930496 is a wasteful number, since it uses less digits than its factorization.

9953663930496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1831025 (or 1830996 counting only the distinct ones).

The product of its (nonzero) digits is 765275040, while the sum is 72.

The spelling of 9953663930496 in words is "nine trillion, nine hundred fifty-three billion, six hundred sixty-three million, nine hundred thirty thousand, four hundred ninety-six".