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248340960192 = 26313175852681
BaseRepresentation
bin1110011101001001000…
…1100101001111000000
3212202000022022220100110
43213102101211033000
513032100241211232
6310030344351320
723641056222003
oct3472221451700
9782008286313
10248340960192
1196358aa8076
1240168a75540
131a559454230
14c03c34d53a
1566d7356acc
hex39d24653c0

248340960192 has 112 divisors (see below), whose sum is σ = 749236938912. Its totient is φ = 71917731840.

The previous prime is 248340960139. The next prime is 248340960211. The reversal of 248340960192 is 291069043842.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2883909 + ... + 2968772.

It is an arithmetic number, because the mean of its divisors is an integer number (6689615526).

Almost surely, 2248340960192 is an apocalyptic number.

It is an amenable number.

248340960192 is an abundant number, since it is smaller than the sum of its proper divisors (500895978720).

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

248340960192 is a wasteful number, since it uses less digits than its factorization.

248340960192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5852726 (or 5852716 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 48.

The spelling of 248340960192 in words is "two hundred forty-eight billion, three hundred forty million, nine hundred sixty thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 13 16 17 24 26 32 34 39 48 51 52 64 68 78 96 102 104 136 156 192 204 208 221 272 312 408 416 442 544 624 663 816 832 884 1088 1248 1326 1632 1768 2496 2652 3264 3536 5304 7072 10608 14144 21216 42432 5852681 11705362 17558043 23410724 35116086 46821448 70232172 76084853 93642896 99495577 140464344 152169706 187285792 198991154 228254559 280928688 298486731 304339412 374571584 397982308 456509118 561857376 596973462 608678824 795964616 913018236 1123714752 1193946924 1217357648 1293442501 1591929232 1826036472 2387893848 2434715296 2586885002 3183858464 3652072944 3880327503 4775787696 4869430592 5173770004 6367716928 7304145888 7760655006 9551575392 10347540008 14608291776 15521310012 19103150784 20695080016 31042620024 41390160032 62085240048 82780320064 124170480096 248340960192