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2028336598008 = 23347607736679
BaseRepresentation
bin11101100001000010010…
…010000100101111111000
321011220111021011011210000
4131201002102010233320
5231213013132114013
64151445512353000
7266354033420310
oct35410222045770
97156437134700
102028336598008
11712238149326
122891319a5760
1311936b125126
147025a01c440
1537b65a81973
hex1d842484bf8

2028336598008 has 160 divisors (see below), whose sum is σ = 6503528908800. Its totient is φ = 578569220928.

The previous prime is 2028336597967. The next prime is 2028336598033. The reversal of 2028336598008 is 8008956338202.

2028336598008 is a `hidden beast` number, since 20 + 28 + 3 + 3 + 6 + 598 + 0 + 0 + 8 = 666.

It is a super-2 number, since 2×20283365980082 (a number of 25 digits) contains 22 as substring.

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 39 ways as a sum of consecutive naturals, for example, 2385013 + ... + 3121691.

It is an arithmetic number, because the mean of its divisors is an integer number (40647055680).

Almost surely, 22028336598008 is an apocalyptic number.

2028336598008 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2028336598008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3251764454400).

2028336598008 is an abundant number, since it is smaller than the sum of its proper divisors (4475192310792).

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

2028336598008 is a wasteful number, since it uses less digits than its factorization.

2028336598008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 737311 (or 737298 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 2028336598008 in words is "two trillion, twenty-eight billion, three hundred thirty-six million, five hundred ninety-eight thousand, eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 81 84 108 126 162 168 189 216 252 324 378 504 567 607 648 756 1134 1214 1512 1821 2268 2428 3642 4249 4536 4856 5463 7284 8498 10926 12747 14568 16389 16996 21852 25494 32778 33992 38241 43704 49167 50988 65556 76482 98334 101976 114723 131112 152964 196668 229446 305928 344169 393336 458892 688338 736679 917784 1376676 1473358 2210037 2753352 2946716 4420074 5156753 5893432 6630111 8840148 10313506 13260222 15470259 17680296 19890333 20627012 26520444 30940518 39780666 41254024 46410777 53040888 59670999 61881036 79561332 92821554 119341998 123762072 139232331 159122664 185643108 238683996 278464662 371286216 417696993 447164153 477367992 556929324 835393986 894328306 1113858648 1341492459 1670787972 1788656612 2682984918 3130149071 3341575944 3577313224 4024477377 5365969836 6260298142 8048954754 9390447213 10731939672 12073432131 12520596284 16097909508 18780894426 24146864262 25041192568 28171341639 32195819016 36220296393 37561788852 48293728524 56342683278 72440592786 75123577704 84514024917 96587457048 112685366556 144881185572 169028049834 225370733112 253542074751 289762371144 338056099668 507084149502 676112199336 1014168299004 2028336598008