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99004863111408 = 2433595897658703
BaseRepresentation
bin10110100000101101011101…
…101100100110000011110000
3110222112202212010200202112000
4112200231131230212003300
5100434043424424031113
6550322112313334000
726565602542146462
oct2640553554460360
9428482763622460
1099004863111408
11296007aa1a1921
12b12b980407300
13433217054ac27
141a63c0a5d6132
15b6a524e70373
hex5a0b5db260f0

99004863111408 has 160 divisors (see below), whose sum is σ = 289046692684800. Its totient is φ = 32436720797184.

The previous prime is 99004863111379. The next prime is 99004863111433. The reversal of 99004863111408 is 80411136840099.

99004863111408 is a `hidden beast` number, since 9 + 9 + 0 + 0 + 486 + 3 + 11 + 140 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 149973385 + ... + 150632087.

It is an arithmetic number, because the mean of its divisors is an integer number (1806541829280).

Almost surely, 299004863111408 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 99004863111408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144523346342400).

99004863111408 is an abundant number, since it is smaller than the sum of its proper divisors (190041829573392).

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

99004863111408 is a wasteful number, since it uses less digits than its factorization.

99004863111408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 664676 (or 664664 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 54.

The spelling of 99004863111408 in words is "ninety-nine trillion, four billion, eight hundred sixty-three million, one hundred eleven thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 59 72 108 118 144 177 216 236 354 432 472 531 708 944 1062 1416 1593 2124 2832 3186 4248 5897 6372 8496 11794 12744 17691 23588 25488 35382 47176 53073 70764 94352 106146 141528 159219 212292 283056 318438 347923 424584 636876 658703 695846 849168 1043769 1273752 1317406 1391692 1976109 2087538 2547504 2634812 2783384 3131307 3952218 4175076 5269624 5566768 5928327 6262614 7904436 8350152 9393921 10539248 11856654 12525228 15808872 16700304 17784981 18787842 23713308 25050456 31617744 35569962 37575684 38863477 47426616 50100912 71139924 75151368 77726954 94853232 116590431 142279848 150302736 155453908 233180862 284559696 310907816 349771293 466361724 621815632 699542586 932723448 1049313879 1399085172 1865446896 2098627758 2798170344 3884371591 4197255516 5596340688 7768743182 8394511032 11653114773 15537486364 16789022064 23306229546 31074972728 34959344319 46612459092 62149945456 69918688638 93224918184 104878032957 139837377276 186449836368 209756065914 229177923869 279674754552 419512131828 458355847738 559349509104 687533771607 839024263656 916711695476 1375067543214 1678048527312 1833423390952 2062601314821 2750135086428 3666846781904 4125202629642 5500270172856 6187803944463 8250405259284 11000540345712 12375607888926 16500810518568 24751215777852 33001621037136 49502431555704 99004863111408