Search a number
-
+
6997407769440 = 2534511137358277
BaseRepresentation
bin110010111010011011000…
…0000010010001101100000
3220202221112101020000120000
41211310312000102031200
51404121142342110230
622514321553020000
71321355200445544
oct145646600221540
926687471200500
106997407769440
11225864729a140
12950189854600
133b9b11575baa
141a2967c57a24
15c2042d55b60
hex65d36012360

6997407769440 has 480 divisors, whose sum is σ = 27136738135584. Its totient is φ = 1683954524160.

The previous prime is 6997407769381. The next prime is 6997407769441. The reversal of 6997407769440 is 449677047996.

6997407769440 is a `hidden beast` number, since 6 + 9 + 97 + 407 + 7 + 6 + 94 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6997407769441) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 19351582 + ... + 19709858.

Almost surely, 26997407769440 is an apocalyptic number.

6997407769440 is a gapful number since it is divisible by the number (60) 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 6997407769440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13568369067792).

6997407769440 is an abundant number, since it is smaller than the sum of its proper divisors (20139330366144).

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

6997407769440 is a wasteful number, since it uses less digits than its factorization.

6997407769440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358452 (or 358435 counting only the distinct ones).

The product of its (nonzero) digits is 576108288, while the sum is 72.

The spelling of 6997407769440 in words is "six trillion, nine hundred ninety-seven billion, four hundred seven million, seven hundred sixty-nine thousand, four hundred forty".