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38487407338842 = 237113719696901
BaseRepresentation
bin10001100000001000011000…
…01111100010010101011010
312001021100201120222101222020
420300010030033202111122
520021034202234320332
6213504512034035310
711051423555416230
oct1060041417422532
9161240646871866
1038487407338842
1111299466095000
12439714aa18b36
1318624682c0287
14970b2c638950
1546b22c08382c
hex23010c3e255a

38487407338842 has 128 divisors (see below), whose sum is σ = 98124580417536. Its totient is φ = 9855929160000.

The previous prime is 38487407338837. The next prime is 38487407338883. The reversal of 38487407338842 is 24883370478483.

It is a super-3 number, since 3×384874073388423 (a number of 42 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 879409 + ... + 8817492.

It is an arithmetic number, because the mean of its divisors is an integer number (766598284512).

Almost surely, 238487407338842 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38487407338842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49062290208768).

38487407338842 is an abundant number, since it is smaller than the sum of its proper divisors (59637173078694).

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

38487407338842 is a wasteful number, since it uses less digits than its factorization.

38487407338842 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9697017 (or 9696995 counting only the distinct ones).

The product of its (nonzero) digits is 693633024, while the sum is 69.

The spelling of 38487407338842 in words is "thirty-eight trillion, four hundred eighty-seven billion, four hundred seven million, three hundred thirty-eight thousand, eight hundred forty-two".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 71 77 121 142 154 213 231 242 363 426 462 497 726 781 847 994 1331 1491 1562 1694 2343 2541 2662 2982 3993 4686 5082 5467 7986 8591 9317 10934 16401 17182 18634 25773 27951 32802 51546 55902 60137 94501 120274 180411 189002 283503 360822 567006 661507 1323014 1984521 3969042 9696901 19393802 29090703 58181406 67878307 106665911 135756614 203634921 213331822 319997733 407269842 639995466 688479971 746661377 1173325021 1376959942 1493322754 2065439913 2239984131 2346650042 3519975063 4130879826 4479968262 4819359797 7039950126 7573279681 8213275147 9638719594 12906575231 14458079391 15146559362 16426550294 22719839043 24639825441 25813150462 28916158782 38719725693 45439678086 49279650882 53012957767 77439451386 83306076491 90346026617 106025915534 159038873301 166612152982 180692053234 249918229473 271038079851 318077746602 499836458946 542076159702 583142535437 916366841401 1166285070874 1749427606311 1832733682802 2749100524203 3498855212622 5498201048406 6414567889807 12829135779614 19243703669421 38487407338842