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9949029221376 = 210327318955897
BaseRepresentation
bin1001000011000111000001…
…0110100100010000000000
31022020010011221201102021200
42100301300112210100000
52301001102440041001
633054304304221200
72044536135024210
oct220616026442000
938203157642250
109949029221376
1131963a5696693
12114823190a800
1357226024009b
1426576d8da240
15123be5240086
hex90c705a4400

9949029221376 has 528 divisors, whose sum is σ = 34272038661120. Its totient is φ = 2719926190080.

The previous prime is 9949029221371. The next prime is 9949029221381. The reversal of 9949029221376 is 6731229209499.

9949029221376 is a `hidden beast` number, since 9 + 9 + 490 + 2 + 9 + 2 + 2 + 137 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (9949029221371) and next prime (9949029221381).

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

It is not an unprimeable number, because it can be changed into a prime (9949029221371) 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 47 ways as a sum of consecutive naturals, for example, 177960660 + ... + 178016556.

Almost surely, 29949029221376 is an apocalyptic number.

9949029221376 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 9949029221376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17136019330560).

9949029221376 is an abundant number, since it is smaller than the sum of its proper divisors (24323009439744).

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

9949029221376 is a wasteful number, since it uses less digits than its factorization.

9949029221376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56050 (or 56029 counting only the distinct ones).

The product of its (nonzero) digits is 26453952, while the sum is 63.

The spelling of 9949029221376 in words is "nine trillion, nine hundred forty-nine billion, twenty-nine million, two hundred twenty-one thousand, three hundred seventy-six".