Search a number
-
+
332982936442848 = 253235313007218761
BaseRepresentation
bin100101110110110001010000…
…1101001001001011111100000
31121122222212011100211002212010
41023231202201221021133200
5322121043023212132343
63140110125455432520
7130065136402451346
oct11355424151113740
91548885140732763
10332982936442848
119710a2a78581aa
123141a3a7825740
13113a5205159783
145c326627b3996
1528769b4cecd33
hex12ed8a1a497e0

332982936442848 has 192 divisors, whose sum is σ = 929368515704832. Its totient is φ = 104156809236480.

The previous prime is 332982936442829. The next prime is 332982936442921. The reversal of 332982936442848 is 848244639289233.

It is a super-2 number, since 2×3329829364428482 (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 332982936442848.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1522021788 + ... + 1522240548.

It is an arithmetic number, because the mean of its divisors is an integer number (4840461019296).

Almost surely, 2332982936442848 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 332982936442848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464684257852416).

332982936442848 is an abundant number, since it is smaller than the sum of its proper divisors (596385579261984).

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

332982936442848 is a wasteful number, since it uses less digits than its factorization.

332982936442848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231857 (or 231849 counting only the distinct ones).

The product of its digits is 3439853568, while the sum is 75.

The spelling of 332982936442848 in words is "three hundred thirty-two trillion, nine hundred eighty-two billion, nine hundred thirty-six million, four hundred forty-two thousand, eight hundred forty-eight".