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534757828416 = 263717191231843
BaseRepresentation
bin1111100100000100000…
…11001110011101000000
31220010022012012100012220
413302002003032131000
532230141001002131
61045355300051040
753430540354150
oct7620203163500
91803265170186
10534757828416
11196875942429
1287781393a80
133b573140356
141bc4d4d0760
15dd9c2c8e96
hex7c820ce740

534757828416 has 224 divisors, whose sum is σ = 1802237045760. Its totient is φ = 136231870464.

The previous prime is 534757828411. The next prime is 534757828417. The reversal of 534757828416 is 614828757435.

It is a tau number, because it is divible by the number of its divisors (224).

It is a self number, because there is not a number n which added to its sum of digits gives 534757828416.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (534757828411) 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, 181810 + ... + 1050033.

Almost surely, 2534757828416 is an apocalyptic number.

534757828416 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 534757828416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (901118522880).

534757828416 is an abundant number, since it is smaller than the sum of its proper divisors (1267479217344).

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

534757828416 is a wasteful number, since it uses less digits than its factorization.

534757828416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1231901 (or 1231891 counting only the distinct ones).

The product of its digits is 45158400, while the sum is 60.

The spelling of 534757828416 in words is "five hundred thirty-four billion, seven hundred fifty-seven million, eight hundred twenty-eight thousand, four hundred sixteen".