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248330507238 = 233117119330509
BaseRepresentation
bin1110011101000110100…
…1101101001111100110
3212201222120122211121000
43213101221231033212
513032040102212423
6310025332334130
723640601324632
oct3472151551746
9781876584530
10248330507238
1196353108670
1240165474346
131a557234458
14c03abcbdc2
1566d648e843
hex39d1a6d3e6

248330507238 has 128 divisors (see below), whose sum is σ = 613675699200. Its totient is φ = 73804953600.

The previous prime is 248330507233. The next prime is 248330507251. The reversal of 248330507238 is 832705033842.

248330507238 is a `hidden beast` number, since 2 + 4 + 83 + 30 + 507 + 2 + 38 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 248330507193 and 248330507202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248330507233) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8124328 + ... + 8154836.

It is an arithmetic number, because the mean of its divisors is an integer number (4794341400).

Almost surely, 2248330507238 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 248330507238, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306837849600).

248330507238 is an abundant number, since it is smaller than the sum of its proper divisors (365345191962).

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

248330507238 is a wasteful number, since it uses less digits than its factorization.

248330507238 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30795 (or 30789 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 248330507238 in words is "two hundred forty-eight billion, three hundred thirty million, five hundred seven thousand, two hundred thirty-eight".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 71 99 142 193 198 213 297 386 426 579 594 639 781 1158 1278 1562 1737 1917 2123 2343 3474 3834 4246 4686 5211 6369 7029 10422 12738 13703 14058 19107 21087 27406 30509 38214 41109 42174 57321 61018 82218 91527 114642 123327 150733 183054 246654 274581 301466 335599 369981 452199 549162 671198 739962 823743 904398 1006797 1356597 1647486 2013594 2166139 2713194 3020391 4069791 4332278 5888237 6040782 6498417 8139582 9061173 11776474 12996834 17664711 18122346 19495251 23827529 35329422 38990502 47655058 52994133 58485753 64770607 71482587 105988266 116971506 129541214 142965174 158982399 194311821 214447761 317964798 388623642 418064827 428895522 582935463 643343283 836129654 1165870926 1254194481 1286686566 1748806389 2508388962 3497612778 3762583443 4598713097 7525166886 9197426194 11287750329 13796139291 22575500658 27592278582 41388417873 82776835746 124165253619 248330507238