Search a number
-
+
4840631997552 = 2433135989164147
BaseRepresentation
bin100011001110000110000…
…1001101001010001110000
3122010202111222002210002000
41012130030021221101300
51113302103242410202
614143431115054000
71006503242043321
oct106341411512160
918122458083060
104840631997552
1115a699a62752a
12662191a41300
13291614a474c0
1412a405b88448
1585db14c291c
hex4670c269470

4840631997552 has 320 divisors, whose sum is σ = 15387890112000. Its totient is φ = 1447720445952.

The previous prime is 4840631997469. The next prime is 4840631997601. The reversal of 4840631997552 is 2557991360484.

4840631997552 is a `hidden beast` number, since 4 + 8 + 4 + 0 + 63 + 19 + 9 + 7 + 552 = 666.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 4840631997552.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 29407543 + ... + 29571689.

It is an arithmetic number, because the mean of its divisors is an integer number (48087156600).

It is a 1-persistent number, because it is pandigital, but 2⋅4840631997552 = 9681263995104 is not.

Almost surely, 24840631997552 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4840631997552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7693945056000).

4840631997552 is an abundant number, since it is smaller than the sum of its proper divisors (10547258114448).

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

4840631997552 is a wasteful number, since it uses less digits than its factorization.

4840631997552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164325 (or 164313 counting only the distinct ones).

The product of its (nonzero) digits is 65318400, while the sum is 63.

The spelling of 4840631997552 in words is "four trillion, eight hundred forty billion, six hundred thirty-one million, nine hundred ninety-seven thousand, five hundred fifty-two".