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6400770921216 = 28327319426287
BaseRepresentation
bin101110100100100101110…
…1011010101001100000000
3211122220111201201202222200
41131021023223111030000
51314332234323434331
621340250142433200
71230304033065000
oct135111353251400
924586451652880
106400770921216
112048608354321
12874619292800
1337578960c429
14181b2850c000
15b17733b25e6
hex5d24bad5300

6400770921216 has 432 divisors, whose sum is σ = 22654649472000. Its totient is φ = 1732535433216.

The previous prime is 6400770921161. The next prime is 6400770921283. The reversal of 6400770921216 is 6121290770046.

6400770921216 is a `hidden beast` number, since 6 + 400 + 7 + 7 + 0 + 9 + 21 + 216 = 666.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 14802025 + ... + 15228311.

Almost surely, 26400770921216 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 6400770921216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11327324736000).

6400770921216 is an abundant number, since it is smaller than the sum of its proper divisors (16253878550784).

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

6400770921216 is a wasteful number, since it uses less digits than its factorization.

6400770921216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426349 (or 426318 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 6400770921216 in words is "six trillion, four hundred billion, seven hundred seventy million, nine hundred twenty-one thousand, two hundred sixteen".