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534620434656 = 253711167433079
BaseRepresentation
bin1111100011110011101…
…11000111000011100000
31220002221121200000102010
413301321313013003200
532224400312402111
61045333511152520
753424251500230
oct7617167070340
91802847600363
10534620434656
11196805330470
1287743375740
133b550836379
141bc39167cc0
15dd901d9aa6
hex7c79dc70e0

534620434656 has 192 divisors, whose sum is σ = 1760147988480. Its totient is φ = 138030620160.

The previous prime is 534620434651. The next prime is 534620434697. The reversal of 534620434656 is 656434026435.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (534620434651) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1017925 + ... + 1451003.

It is an arithmetic number, because the mean of its divisors is an integer number (9167437440).

Almost surely, 2534620434656 is an apocalyptic number.

534620434656 is a gapful number since it is divisible by the number (56) 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 534620434656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (880073994240).

534620434656 is an abundant number, since it is smaller than the sum of its proper divisors (1225527553824).

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

534620434656 is a wasteful number, since it uses less digits than its factorization.

534620434656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433277 (or 433269 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 48.

The spelling of 534620434656 in words is "five hundred thirty-four billion, six hundred twenty million, four hundred thirty-four thousand, six hundred fifty-six".