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4991170544640 = 210355721931139
BaseRepresentation
bin100100010100001100011…
…1100101000010000000000
3122200011002020221022200000
41020220120330220100000
51123233404124412030
614340525002400000
71023412600425600
oct110503074502000
918604066838600
104991170544640
11165481a720015
126873a4b00000
132a2885a57177
14133806c86c00
1589c724d1860
hex48a18f28400

4991170544640 has 3168 divisors, whose sum is σ = 22832493465600. Its totient is φ = 1038405795840.

The previous prime is 4991170544639. The next prime is 4991170544687. The reversal of 4991170544640 is 464450711994.

It is a happy number.

4991170544640 is a `hidden beast` number, since 4 + 9 + 9 + 1 + 170 + 5 + 4 + 464 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

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 287 ways as a sum of consecutive naturals, for example, 35907701691 + ... + 35907701829.

Almost surely, 24991170544640 is an apocalyptic number.

4991170544640 is a gapful number since it is divisible by the number (40) 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 4991170544640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11416246732800).

4991170544640 is an abundant number, since it is smaller than the sum of its proper divisors (17841322920960).

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

4991170544640 is a wasteful number, since it uses less digits than its factorization.

4991170544640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 4991170544640 in words is "four trillion, nine hundred ninety-one billion, one hundred seventy million, five hundred forty-four thousand, six hundred forty".