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4768002943380 = 2232526488905241
BaseRepresentation
bin100010101100010001100…
…0111110010100110010100
3121212211001022201112212200
41011120203013302212110
51111104332223142010
614050220150244500
71001322362213565
oct105304307624624
917784038645780
104768002943380
11157910a3a6116
126500a2656730
1328780ba265c1
14126ab5d2a16c
1584060192cc0
hex456231f2994

4768002943380 has 36 divisors (see below), whose sum is σ = 14462942262132. Its totient is φ = 1271467451520.

The previous prime is 4768002943373. The next prime is 4768002943387. The reversal of 4768002943380 is 833492008674.

4768002943380 is a `hidden beast` number, since 476 + 8 + 0 + 0 + 2 + 94 + 3 + 3 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (4768002943373) and next prime (4768002943387).

It can be written as a sum of positive squares in 2 ways, for example, as 698471376516 + 4069531566864 = 835746^2 + 2017308^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4768002943387) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13244452441 + ... + 13244452800.

Almost surely, 24768002943380 is an apocalyptic number.

It is an amenable number.

4768002943380 is an abundant number, since it is smaller than the sum of its proper divisors (9694939318752).

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

4768002943380 is a wasteful number, since it uses less digits than its factorization.

4768002943380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26488905256 (or 26488905251 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 4768002943380 in words is "four trillion, seven hundred sixty-eight billion, two million, nine hundred forty-three thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 26488905241 52977810482 79466715723 105955620964 132444526205 158933431446 238400147169 264889052410 317866862892 397333578615 476800294338 529778104820 794667157230 953600588676 1192000735845 1589334314460 2384001471690 4768002943380