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530314297242048 = 26351143617611553
BaseRepresentation
bin111100010010100010110101…
…1010011100111000111000000
32120112200112220011222120200000
41320211011223103213013000
51024002132140043221143
65115515005213400000
7216462641441130054
oct17045055323470700
92515615804876600
10530314297242048
11143a7a037589740
124b58a569199000
13199ba5679b4077
1494d54c56b7c64
154149a5a130bd3
hex1e2516b4e71c0

530314297242048 has 1344 divisors, whose sum is σ = 1791994624003584. Its totient is φ = 154088718336000.

The previous prime is 530314297242007. The next prime is 530314297242053. The reversal of 530314297242048 is 840242792413035.

530314297242048 is a `hidden beast` number, since 5 + 3 + 0 + 3 + 1 + 429 + 7 + 2 + 4 + 204 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 530314297241985 and 530314297242003.

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 191 ways as a sum of consecutive naturals, for example, 341477331640 + ... + 341477333192.

It is an arithmetic number, because the mean of its divisors is an integer number (1333329333336).

Almost surely, 2530314297242048 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 530314297242048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (895997312001792).

530314297242048 is an abundant number, since it is smaller than the sum of its proper divisors (1261680326761536).

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

530314297242048 is a wasteful number, since it uses less digits than its factorization.

530314297242048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2456 (or 2434 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 530314297242048 in words is "five hundred thirty trillion, three hundred fourteen billion, two hundred ninety-seven million, two hundred forty-two thousand, forty-eight".