Search a number
-
+
7072066417780 = 22571397716692383
BaseRepresentation
bin110011011101001100000…
…0000011011010001110100
3221001002020110122022112201
41212322120000123101310
51411332043000332110
623012510142554244
71326640253465410
oct146723000332164
927032213568481
107072066417780
112287279140701
12962744898984
133c3b7bc034a0
141a640b475d40
15c3e62441b3a
hex66e9801b474

7072066417780 has 192 divisors, whose sum is σ = 18315926415360. Its totient is φ = 2233624190976.

The previous prime is 7072066417763. The next prime is 7072066417781. The reversal of 7072066417780 is 877146602707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7072066417781) 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 63 ways as a sum of consecutive naturals, for example, 2967714469 + ... + 2967716851.

It is an arithmetic number, because the mean of its divisors is an integer number (95395450080).

Almost surely, 27072066417780 is an apocalyptic number.

7072066417780 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7072066417780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9157963207680).

7072066417780 is an abundant number, since it is smaller than the sum of its proper divisors (11243859997580).

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

7072066417780 is a wasteful number, since it uses less digits than its factorization.

7072066417780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5058 (or 5056 counting only the distinct ones).

The product of its (nonzero) digits is 5531904, while the sum is 55.

The spelling of 7072066417780 in words is "seven trillion, seventy-two billion, sixty-six million, four hundred seventeen thousand, seven hundred eighty".