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728630571132 = 22321929311184927
BaseRepresentation
bin10101001101001011100…
…01000011000001111100
32120122201111222002212100
422212211301003001330
543414213411234012
61314421145505100
7103433100444252
oct12464561030174
92518644862770
10728630571132
11261012a64532
12b9268aa2190
135392bbc84a9
14273a19185d2
1513e478798dc
hexa9a5c4307c

728630571132 has 144 divisors (see below), whose sum is σ = 2070306201600. Its totient is φ = 214992973440.

The previous prime is 728630571073. The next prime is 728630571139. The reversal of 728630571132 is 231175036827.

728630571132 is a `hidden beast` number, since 7 + 2 + 8 + 63 + 0 + 571 + 13 + 2 = 666.

It is a super-2 number, since 2×7286305711322 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (728630571139) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22453 + ... + 1207379.

It is an arithmetic number, because the mean of its divisors is an integer number (14377126400).

Almost surely, 2728630571132 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 728630571132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1035153100800).

728630571132 is an abundant number, since it is smaller than the sum of its proper divisors (1341675630468).

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

728630571132 is a wasteful number, since it uses less digits than its factorization.

728630571132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1185016 (or 1185011 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 728630571132 in words is "seven hundred twenty-eight billion, six hundred thirty million, five hundred seventy-one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 19 29 31 36 38 57 58 62 76 87 93 114 116 124 171 174 186 228 261 279 342 348 372 522 551 558 589 684 899 1044 1102 1116 1178 1653 1767 1798 2204 2356 2697 3306 3534 3596 4959 5301 5394 6612 7068 8091 9918 10602 10788 16182 17081 19836 21204 32364 34162 51243 68324 102486 153729 204972 307458 614916 1184927 2369854 3554781 4739708 7109562 10664343 14219124 21328686 22513613 34362883 36732737 42657372 45027226 67540839 68725766 73465474 90054452 103088649 110198211 135081678 137451532 146930948 202622517 206177298 220396422 270163356 309265947 330594633 405245034 412354596 440792844 618531894 652894777 661189266 697922003 810490068 1065249373 1237063788 1305789554 1322378532 1395844006 1958684331 2093766009 2130498746 2611579108 2791688012 3195748119 3917368662 4187532018 4260997492 5876052993 6281298027 6391496238 7834737324 8375064036 9587244357 11752105986 12562596054 12782992476 19174488714 20239738087 23504211972 25125192108 38348977428 40479476174 60719214261 80958952348 121438428522 182157642783 242876857044 364315285566 728630571132