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534325912576 = 2105324312
BaseRepresentation
bin1111100011010000100…
…11100110010000000000
31220002012002110202001221
413301220103212100000
532223244413200301
61045244350404424
753414044214251
oct7615023462000
91802162422057
10534325912576
11196674058695
1287680800714
133b504805a51
141bc0bdbcb28
15dd7440dda1
hex7c684e6400

534325912576 has 99 divisors (see below), whose sum is σ = 1091195434273. Its totient is φ = 261513973760.

The previous prime is 534325912573. The next prime is 534325912583. The reversal of 534325912576 is 675219523435.

The square root of 534325912576 is 730976.

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

It can be written as a sum of positive squares in only one way, i.e., 385194009600 + 149131902976 = 620640^2 + 386176^2 .

It is a Smith number, since the sum of its digits (52) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

Its product of digits (6804000) is a multiple of the sum of its prime divisors (486).

It is not an unprimeable number, because it can be changed into a prime (534325912573) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1239735081 + ... + 1239735511.

Almost surely, 2534325912576 is an apocalyptic number.

534325912576 is the 730976-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 534325912576

534325912576 is an abundant number, since it is smaller than the sum of its proper divisors (556869521697).

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

534325912576 is an frugal number, since it uses more digits than its factorization.

534325912576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 988 (or 486 counting only the distinct ones).

The product of its digits is 6804000, while the sum is 52.

The spelling of 534325912576 in words is "five hundred thirty-four billion, three hundred twenty-five million, nine hundred twelve thousand, five hundred seventy-six".

Divisors: 1 2 4 8 16 32 53 64 106 128 212 256 424 431 512 848 862 1024 1696 1724 2809 3392 3448 5618 6784 6896 11236 13568 13792 22472 22843 27136 27584 44944 45686 54272 55168 89888 91372 110336 179776 182744 185761 220672 359552 365488 371522 441344 719104 730976 743044 1210679 1438208 1461952 1486088 2421358 2876416 2923904 2972176 4842716 5847808 5944352 9685432 9845333 11695616 11888704 19370864 19690666 23391232 23777408 38741728 39381332 47554816 77483456 78762664 95109632 154966912 157525328 190219264 309933824 315050656 521802649 619867648 630101312 1043605298 1239735296 1260202624 2087210596 2520405248 4174421192 5040810496 8348842384 10081620992 16697684768 33395369536 66790739072 133581478144 267162956288 534325912576