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8434470574656 = 2632725922932
BaseRepresentation
bin111101010111100110110…
…0111110101101001000000
31002212022211202102101202100
41322233031213311221000
52101142243431342111
625534424200150400
71530241020653400
oct172571547655100
932768752371670
108434470574656
112762047831565
12b427a7168400
134924a086a829
142123328d6800
15e95eebb2756
hex7abcd9f5a40

8434470574656 has 567 divisors, whose sum is σ = 28705680584841. Its totient is φ = 2360918504448.

The previous prime is 8434470574633. The next prime is 8434470574679. The reversal of 8434470574656 is 6564750744348.

The square root of 8434470574656 is 2904216.

It is a perfect power (a square), and thus also a powerful number.

8434470574656 is a `hidden beast` number, since 8 + 4 + 3 + 4 + 4 + 7 + 0 + 574 + 6 + 56 = 666.

It is an interprime number because it is at equal distance from previous prime (8434470574633) and next prime (8434470574679).

It can be written as a sum of positive squares in only one way, i.e., 7980173006400 + 454297568256 = 2824920^2 + 674016^2 .

It is a super-2 number, since 2×84344705746562 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 8434470574593 and 8434470574602.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 28786588846 + ... + 28786589138.

Almost surely, 28434470574656 is an apocalyptic number.

8434470574656 is the 2904216-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8434470574656

8434470574656 is an abundant number, since it is smaller than the sum of its proper divisors (20271210010185).

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

8434470574656 is an equidigital number, since it uses as much as digits as its factorization.

8434470574656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 736 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 270950400, while the sum is 63.

The spelling of 8434470574656 in words is "eight trillion, four hundred thirty-four billion, four hundred seventy million, five hundred seventy-four thousand, six hundred fifty-six".