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9992437248 = 293107163373
BaseRepresentation
bin10010100111001100…
…00111111000000000
3221210101112101222110
421103212013320000
5130431030442443
64331312335320
7502423213053
oct112346077000
927711471873
109992437248
11426851a002
121b2a544540
13c33270081
146ab154a9a
153d73b7233
hex253987e00

9992437248 has 160 divisors (see below), whose sum is σ = 27106586496. Its totient is φ = 3270647808.

The previous prime is 9992437219. The next prime is 9992437261. The reversal of 9992437248 is 8427342999.

Its product of digits (7838208) is a multiple of the sum of its prime divisors (648).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26789190 + ... + 26789562.

Almost surely, 29992437248 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 9992437248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13553293248).

9992437248 is an abundant number, since it is smaller than the sum of its proper divisors (17114149248).

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

9992437248 is a wasteful number, since it uses less digits than its factorization.

9992437248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 664 (or 648 counting only the distinct ones).

The product of its digits is 7838208, while the sum is 57.

The square root of 9992437248 is about 99962.1790878930. The cubic root of 9992437248 is about 2153.8914378841.

It can be divided in two parts, 9992437 and 248, that added together give a triangular number (9992685 = T4470).

The spelling of 9992437248 in words is "nine billion, nine hundred ninety-two million, four hundred thirty-seven thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 107 128 163 192 214 256 321 326 373 384 428 489 512 642 652 746 768 856 978 1119 1284 1304 1492 1536 1712 1956 2238 2568 2608 2984 3424 3912 4476 5136 5216 5968 6848 7824 8952 10272 10432 11936 13696 15648 17441 17904 20544 20864 23872 27392 31296 34882 35808 39911 41088 41728 47744 52323 54784 60799 62592 69764 71616 79822 82176 83456 95488 104646 119733 121598 125184 139528 143232 159644 164352 182397 190976 209292 239466 243196 250368 279056 286464 319288 364794 418584 478932 486392 558112 572928 638576 729588 837168 957864 972784 1116224 1277152 1459176 1674336 1915728 1945568 2232448 2554304 2918352 3348672 3831456 3891136 4464896 5108608 5836704 6505493 6697344 7662912 7782272 8929792 10217216 11673408 13010986 13394688 15325824 15564544 19516479 20434432 23346816 26021972 26789376 30651648 31129088 39032958 46693632 52043944 61303296 78065916 93387264 104087888 156131832 208175776 312263664 416351552 624527328 832703104 1249054656 1665406208 2498109312 3330812416 4996218624 9992437248