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30333366672 = 2437672415591
BaseRepresentation
bin11100010000000000…
…100111000110010000
32220021222120200110220
4130100000213012100
5444110320213142
621533541153040
72122455235230
oct342000470620
986258520426
1030333366672
1111956438384
125a666bb780
132b2547639b
14167a825cc0
15bc80292ec
hex710027190

30333366672 has 160 divisors (see below), whose sum is σ = 91285776384. Its totient is φ = 8500377600.

The previous prime is 30333366643. The next prime is 30333366697. The reversal of 30333366672 is 27666333303.

It is a super-2 number, since 2×303333666722 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5422597 + ... + 5428187.

Almost surely, 230333366672 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 30333366672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45642888192).

30333366672 is an abundant number, since it is smaller than the sum of its proper divisors (60952409712).

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

30333366672 is a wasteful number, since it uses less digits than its factorization.

30333366672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5917 (or 5911 counting only the distinct ones).

The product of its (nonzero) digits is 734832, while the sum is 42.

Adding to 30333366672 its reverse (27666333303), we get a palindrome (57999699975).

The spelling of 30333366672 in words is "thirty billion, three hundred thirty-three million, three hundred sixty-six thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 67 84 112 134 168 201 241 268 336 402 469 482 536 723 804 938 964 1072 1407 1446 1608 1687 1876 1928 2814 2892 3216 3374 3752 3856 5061 5591 5628 5784 6748 7504 10122 11182 11256 11568 13496 16147 16773 20244 22364 22512 26992 32294 33546 39137 40488 44728 48441 64588 67092 78274 80976 89456 96882 113029 117411 129176 134184 156548 193764 226058 234822 258352 268368 313096 339087 374597 387528 452116 469644 626192 678174 749194 775056 904232 939288 1123791 1347431 1356348 1498388 1808464 1878576 2247582 2622179 2694862 2712696 2996776 4042293 4495164 5244358 5389724 5425392 5993552 7866537 8084586 8990328 9432017 10488716 10779448 15733074 16169172 17980656 18864034 20977432 21558896 28296051 31466148 32338344 37728068 41954864 56592102 62932296 64676688 75456136 90277877 113184204 125864592 150912272 180555754 226368408 270833631 361111508 452736816 541667262 631945139 722223016 1083334524 1263890278 1444446032 1895835417 2166669048 2527780556 3791670834 4333338096 5055561112 7583341668 10111122224 15166683336 30333366672