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530882514848 = 25719220756519
BaseRepresentation
bin1111011100110110001…
…00000100111110100000
31212202022010010000101202
413232123010010332200
532144221410433343
61043514542420332
753232522630650
oct7563304047640
91782263100352
10530882514848
11195167380a44
1286a7b5916a8
133b0a62c69ba
141b9a2956360
15dc21e82db8
hex7b9b104fa0

530882514848 has 96 divisors (see below), whose sum is σ = 1257945292800. Its totient is φ = 215444807424.

The previous prime is 530882514847. The next prime is 530882514881. The reversal of 530882514848 is 848415288035.

It is a hoax number, since the sum of its digits (56) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a junction number, because it is equal to n+sod(n) for n = 530882514793 and 530882514802.

It is not an unprimeable number, because it can be changed into a prime (530882514847) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 9364733 + ... + 9421251.

It is an arithmetic number, because the mean of its divisors is an integer number (13103596800).

Almost surely, 2530882514848 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 530882514848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (628972646400).

530882514848 is an abundant number, since it is smaller than the sum of its proper divisors (727062777952).

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

530882514848 is a wasteful number, since it uses less digits than its factorization.

530882514848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58762 (or 58754 counting only the distinct ones).

The product of its (nonzero) digits is 9830400, while the sum is 56.

The spelling of 530882514848 in words is "five hundred thirty billion, eight hundred eighty-two million, five hundred fourteen thousand, eight hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 76 112 133 152 224 266 304 532 608 1064 2128 2207 4256 4414 8828 15449 17656 30898 35312 41933 56519 61796 70624 83866 113038 123592 167732 226076 247184 293531 335464 395633 452152 494368 587062 670928 791266 904304 1073861 1174124 1341856 1582532 1808608 2147722 2348248 3165064 4295444 4696496 6330128 7517027 8590888 9392992 12660256 15034054 17181776 30068108 34363552 60136216 120272432 124737433 240544864 249474866 498949732 873162031 997899464 1746324062 1995798928 2370011227 3492648124 3991597856 4740022454 6985296248 9480044908 13970592496 16590078589 18960089816 27941184992 33180157178 37920179632 66360314356 75840359264 132720628712 265441257424 530882514848