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534407267472 = 2431317193185531
BaseRepresentation
bin1111100011011010010…
…01111100010010010000
31220002101202120000000020
413301231021330102100
532223431230024342
61045300414223440
753416052552451
oct7615511742220
91802352500006
10534407267472
11196705a74841
12876a3ab4b80
133b51861ba40
141bc18b19128
15dd7b62e0ec
hex7c6d27c490

534407267472 has 320 divisors, whose sum is σ = 1710530519040. Its totient is φ = 141884006400.

The previous prime is 534407267467. The next prime is 534407267509. The reversal of 534407267472 is 274762704435.

It is a super-2 number, since 2×5344072674722 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

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 63 ways as a sum of consecutive naturals, for example, 6205347 + ... + 6290877.

It is an arithmetic number, because the mean of its divisors is an integer number (5345407872).

Almost surely, 2534407267472 is an apocalyptic number.

534407267472 is a gapful number since it is divisible by the number (52) 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 534407267472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (855265259520).

534407267472 is an abundant number, since it is smaller than the sum of its proper divisors (1176123251568).

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

534407267472 is a wasteful number, since it uses less digits than its factorization.

534407267472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85622 (or 85616 counting only the distinct ones).

The product of its (nonzero) digits is 7902720, while the sum is 51.

The spelling of 534407267472 in words is "five hundred thirty-four billion, four hundred seven million, two hundred sixty-seven thousand, four hundred seventy-two".