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30625334532 = 2232132323312211
BaseRepresentation
bin11100100001011010…
…011000010100000100
32221001022222012002100
4130201122120110010
51000210041201112
622022531112100
72132632022412
oct344132302404
987038865070
1030625334532
1111a96226131
125b28442630
132b70ac1230
1416a75082b2
15be399d2dc
hex721698504

30625334532 has 144 divisors (see below), whose sum is σ = 87374222208. Its totient is φ = 8974056960.

The previous prime is 30625334513. The next prime is 30625334533. The reversal of 30625334532 is 23543352603.

30625334532 is a `hidden beast` number, since 30 + 6 + 253 + 345 + 32 = 666.

It is a super-2 number, since 2×306253345322 (a number of 22 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (30625334533) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2501907 + ... + 2514117.

It is an arithmetic number, because the mean of its divisors is an integer number (606765432).

Almost surely, 230625334532 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 30625334532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43687111104).

30625334532 is an abundant number, since it is smaller than the sum of its proper divisors (56748887676).

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

30625334532 is a wasteful number, since it uses less digits than its factorization.

30625334532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12490 (or 12485 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 36.

The spelling of 30625334532 in words is "thirty billion, six hundred twenty-five million, three hundred thirty-four thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 13 18 23 26 36 39 46 52 69 78 92 117 138 156 207 233 234 276 299 414 466 468 598 699 828 897 932 1196 1398 1794 2097 2691 2796 3029 3588 4194 5359 5382 6058 8388 9087 10718 10764 12116 12211 16077 18174 21436 24422 27261 32154 36348 36633 48231 48844 54522 64308 69667 73266 96462 109044 109899 139334 146532 158743 192924 209001 219798 278668 280853 317486 418002 439596 476229 561706 627003 634972 836004 842559 952458 1123412 1254006 1428687 1685118 1904916 2508012 2527677 2845163 2857374 3370236 3651089 5055354 5690326 5714748 7302178 8535489 10110708 10953267 11380652 14604356 17070978 21906534 25606467 32859801 34141956 36987119 43813068 51212934 65438749 65719602 73974238 102425868 110961357 130877498 131439204 147948476 196316247 221922714 261754996 332884071 392632494 443845428 588948741 665768142 785264988 850703737 1177897482 1331536284 1701407474 2355794964 2552111211 3402814948 5104222422 7656333633 10208444844 15312667266 30625334532