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531348271104 = 2123729293727
BaseRepresentation
bin1111011101101101101…
…00110011000000000000
31212210111120111212212110
413232312310303000000
532201200124133404
61044033101255320
753250206532630
oct7566664630000
91783446455773
10531348271104
11195386279572
1286b8b564540
133b14b94c311
141ba087566c0
15dc4ccd4b89
hex7bb6d33000

531348271104 has 416 divisors, whose sum is σ = 1683010667520. Its totient is φ = 145877630976.

The previous prime is 531348271049. The next prime is 531348271109. The reversal of 531348271104 is 401172843135.

It is not an unprimeable number, because it can be changed into a prime (531348271109) 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, 730877589 + ... + 730878315.

It is an arithmetic number, because the mean of its divisors is an integer number (4045698720).

Almost surely, 2531348271104 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 531348271104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (841505333760).

531348271104 is an abundant number, since it is smaller than the sum of its proper divisors (1151662396416).

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

531348271104 is a wasteful number, since it uses less digits than its factorization.

531348271104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1083 (or 1061 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

It can be divided in two parts, 53134 and 8271104, that added together give a palindrome (8324238).

The spelling of 531348271104 in words is "five hundred thirty-one billion, three hundred forty-eight million, two hundred seventy-one thousand, one hundred four".