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48242517030 = 23452910931879
BaseRepresentation
bin101100111011011110…
…100110010000100110
311121112002210210020000
4230323132212100212
51242300041021110
634055020322130
73325331425461
oct547336462046
9147462723200
1048242517030
1119506709094
1294243a3346
13471a918086
1424991642d8
1513c54391c0
hexb3b7a6426

48242517030 has 160 divisors (see below), whose sum is σ = 134386084800. Its totient is φ = 12403093248.

The previous prime is 48242516999. The next prime is 48242517031. The reversal of 48242517030 is 3071524284.

It is a happy number.

48242517030 is a `hidden beast` number, since 482 + 4 + 2 + 5 + 170 + 3 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48242517031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 25673631 + ... + 25675509.

It is an arithmetic number, because the mean of its divisors is an integer number (839913030).

Almost surely, 248242517030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48242517030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67193042400).

48242517030 is an abundant number, since it is smaller than the sum of its proper divisors (86143567770).

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

48242517030 is a wasteful number, since it uses less digits than its factorization.

48242517030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3020 (or 3011 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 48242517030 in words is "forty-eight billion, two hundred forty-two million, five hundred seventeen thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 29 30 45 54 58 81 87 90 135 145 162 174 261 270 290 405 435 522 783 810 870 1093 1305 1566 1879 2186 2349 2610 3279 3758 3915 4698 5465 5637 6558 7830 9395 9837 10930 11274 11745 16395 16911 18790 19674 23490 28185 29511 31697 32790 33822 49185 50733 54491 56370 59022 63394 84555 88533 95091 98370 101466 108982 147555 152199 158485 163473 169110 177066 190182 253665 272455 285273 295110 304398 316970 326946 442665 475455 490419 507330 544910 570546 760995 817365 855819 885330 950910 980838 1426365 1471257 1521990 1634730 1711638 2053747 2452095 2567457 2852730 2942514 4107494 4279095 4413771 4904190 5134914 6161241 7356285 8558190 8827542 10268735 12322482 12837285 14712570 18483723 20537470 22068855 25674570 30806205 36967446 44137710 55451169 59558663 61612410 92418615 110902338 119117326 166353507 178675989 184837230 277255845 297793315 332707014 357351978 536027967 554511690 595586630 831767535 893379945 1072055934 1608083901 1663535070 1786759890 2680139835 3216167802 4824251703 5360279670 8040419505 9648503406 16080839010 24121258515 48242517030