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30098509272 = 233213212719477
BaseRepresentation
bin11100000010000000…
…101100110111011000
32212200121122200200200
4130002000230313120
5443120204244042
621454351302200
72113604051616
oct340200546730
985617580620
1030098509272
1111845907557
1259bbb1a960
132ab8906200
14165756c6b6
15bb25d6c4c
hex70202cdd8

30098509272 has 144 divisors (see below), whose sum is σ = 88969271040. Its totient is φ = 9187686144.

The previous prime is 30098509271. The next prime is 30098509277. The reversal of 30098509272 is 27290589003.

30098509272 is a `hidden beast` number, since 30 + 0 + 98 + 509 + 27 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30098509271) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1535598 + ... + 1555074.

It is an arithmetic number, because the mean of its divisors is an integer number (617842160).

Almost surely, 230098509272 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 30098509272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44484635520).

30098509272 is an abundant number, since it is smaller than the sum of its proper divisors (58870761768).

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

30098509272 is a wasteful number, since it uses less digits than its factorization.

30098509272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19642 (or 19622 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 30098509272 in words is "thirty billion, ninety-eight million, five hundred nine thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 127 156 169 234 254 312 338 381 468 507 508 676 762 936 1014 1016 1143 1352 1521 1524 1651 2028 2286 3042 3048 3302 4056 4572 4953 6084 6604 9144 9906 12168 13208 14859 19477 19812 21463 29718 38954 39624 42926 58431 59436 64389 77908 85852 116862 118872 128778 155816 171704 175293 193167 233724 253201 257556 350586 386334 467448 506402 515112 701172 759603 772668 1012804 1402344 1519206 1545336 2025608 2278809 2473579 3038412 3291613 4557618 4947158 6076824 6583226 7420737 9115236 9874839 9894316 13166452 14841474 18230472 19749678 19788632 22262211 26332904 29624517 29682948 32156527 39499356 44524422 59249034 59365896 64313054 78998712 89048844 96469581 118498068 128626108 178097688 192939162 236996136 257252216 289408743 385878324 418034851 578817486 771756648 836069702 1157634972 1254104553 1672139404 2315269944 2508209106 3344278808 3762313659 5016418212 7524627318 10032836424 15049254636 30098509272