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4911604493796 = 223672112132412
BaseRepresentation
bin100011101111001001001…
…1100001110110111100100
3122101112201011101011000000
41013132102130032313210
51120432431222300141
614240205430021300
71014565065233100
oct107362234166744
918345634334000
104911604493796
111623aaa767400
12673a9a4a7830
132982157bc300
1412da199cc900
1587b671805b6
hex4779270ede4

4911604493796 has 1701 divisors, whose sum is σ = 18288625454379. Its totient is φ = 1148885337600.

The previous prime is 4911604493791. The next prime is 4911604493797. The reversal of 4911604493796 is 6973944061194.

The square root of 4911604493796 is 2216214.

It is a perfect power (a square), and thus also a powerful number.

4911604493796 is a `hidden beast` number, since 4 + 9 + 11 + 60 + 4 + 493 + 79 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3271504212900 + 1640100280896 = 1808730^2 + 1280664^2 .

It is a tau number, because it is divible by the number of its divisors (1701).

It is a super-2 number, since 2×49116044937962 (a number of 26 digits) contains 22 as substring.

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 (4911604493791) by changing a digit.

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 566 ways as a sum of consecutive naturals, for example, 119795231536 + ... + 119795231576.

Almost surely, 24911604493796 is an apocalyptic number.

4911604493796 is the 2216214-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4911604493796

4911604493796 is an abundant number, since it is smaller than the sum of its proper divisors (13377020960583).

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

4911604493796 is a wasteful number, since it uses less digits than its factorization.

4911604493796 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 35271936, while the sum is 63.

The spelling of 4911604493796 in words is "four trillion, nine hundred eleven billion, six hundred four million, four hundred ninety-three thousand, seven hundred ninety-six".