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530905082112 = 28321747131899
BaseRepresentation
bin1111011100111000110…
…10001010100100000000
31212202100200120112212100
413232130122022210000
532144243200111422
61043521110230400
753233215511506
oct7563432124400
91782320515770
10530905082112
11195179095079
1286a87055400
133b0aab98802
141b9a594c676
15dc23e3e7ac
hex7b9c68a900

530905082112 has 108 divisors (see below), whose sum is σ = 1531618051600. Its totient is φ = 176865721344.

The previous prime is 530905082107. The next prime is 530905082129. The reversal of 530905082112 is 211280509035.

530905082112 is a `hidden beast` number, since 5 + 30 + 9 + 0 + 508 + 2 + 112 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3959139 + ... + 4091037.

Almost surely, 2530905082112 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 530905082112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (765809025800).

530905082112 is an abundant number, since it is smaller than the sum of its proper divisors (1000712969488).

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

530905082112 is a wasteful number, since it uses less digits than its factorization.

530905082112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133668 (or 133651 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The spelling of 530905082112 in words is "five hundred thirty billion, nine hundred five million, eighty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 1747 2304 3494 5241 6988 10482 13976 15723 20964 27952 31446 41928 55904 62892 83856 111808 125784 131899 167712 223616 251568 263798 335424 395697 447232 503136 527596 670848 791394 1006272 1055192 1187091 1341696 1582788 2012544 2110384 2374182 3165576 4025088 4220768 4748364 6331152 8441536 9496728 12662304 16883072 18993456 25324608 33766144 37986912 50649216 75973824 101298432 151947648 230427553 303895296 460855106 691282659 921710212 1382565318 1843420424 2073847977 2765130636 3686840848 4147695954 5530261272 7373681696 8295391908 11060522544 14747363392 16590783816 22121045088 29494726784 33181567632 44242090176 58989453568 66363135264 88484180352 132726270528 176968360704 265452541056 530905082112