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530958436356096 = 2123375317417433
BaseRepresentation
bin111100010111001110110010…
…0111111010101000000000000
32120121222010112100100221201000
41320232131210333111000000
51024043210334201343341
65121130534402212000
7216560324011222560
oct17056354477250000
92517863470327630
10530958436356096
111441a82322a0991
124b673376054000
1319a362200a2528
14951874db32da0
15415b6aa0398b6
hex1e2e764fd5000

530958436356096 has 832 divisors, whose sum is σ = 1832953179133440. Its totient is φ = 148734596874240.

The previous prime is 530958436356083. The next prime is 530958436356203. The reversal of 530958436356096 is 690653634859035.

530958436356096 is a `hidden beast` number, since 5 + 3 + 0 + 9 + 5 + 8 + 4 + 3 + 6 + 3 + 5 + 609 + 6 = 666.

It is a super-2 number, since 2×5309584363560962 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 71432585596 + ... + 71432593028.

It is an arithmetic number, because the mean of its divisors is an integer number (2203068724920).

Almost surely, 2530958436356096 is an apocalyptic number.

530958436356096 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 530958436356096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (916476589566720).

530958436356096 is an abundant number, since it is smaller than the sum of its proper divisors (1301994742777344).

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

530958436356096 is a wasteful number, since it uses less digits than its factorization.

530958436356096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9267 (or 9239 counting only the distinct ones).

The product of its (nonzero) digits is 1889568000, while the sum is 72.

The spelling of 530958436356096 in words is "five hundred thirty trillion, nine hundred fifty-eight billion, four hundred thirty-six million, three hundred fifty-six thousand, ninety-six".