Search a number
-
+
7944046078368 = 25329375310114407
BaseRepresentation
bin111001110011001111000…
…0010110110100110100000
31001010102222020012200012110
41303212132002312212200
52020123401244001433
624521235553155320
71446636603350331
oct163463602664640
931112866180173
107944046078368
112593061a017a4
12a83738b5bb40
1345817449caaa
141d66cb2d6288
15db999a3a963
hex7399e0b69a0

7944046078368 has 384 divisors, whose sum is σ = 22798329361920. Its totient is φ = 2416335667200.

The previous prime is 7944046078361. The next prime is 7944046078453. The reversal of 7944046078368 is 8638706404497.

It is a junction number, because it is equal to n+sod(n) for n = 7944046078299 and 7944046078308.

It is not an unprimeable number, because it can be changed into a prime (7944046078361) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 551394621 + ... + 551409027.

It is an arithmetic number, because the mean of its divisors is an integer number (59370649380).

Almost surely, 27944046078368 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 7944046078368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11399164680960).

7944046078368 is an abundant number, since it is smaller than the sum of its proper divisors (14854283283552).

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

7944046078368 is a wasteful number, since it uses less digits than its factorization.

7944046078368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14640 (or 14632 counting only the distinct ones).

The product of its (nonzero) digits is 195084288, while the sum is 66.

The spelling of 7944046078368 in words is "seven trillion, nine hundred forty-four billion, forty-six million, seventy-eight thousand, three hundred sixty-eight".