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128985793848 = 2335192183797
BaseRepresentation
bin111100000100000100…
…1110000010100111000
3110022221020112020100000
41320020021300110320
54103130330400343
6135131045113000
712214250105052
oct1701011602470
9408836466300
10128985793848
114a78013302a
1220bb90b8760
13c217a32452
1463589008d2
15354dcc7ed3
hex1e08270538

128985793848 has 144 divisors (see below), whose sum is σ = 382347627480. Its totient is φ = 40732134336.

The previous prime is 128985793843. The next prime is 128985793861. The reversal of 128985793848 is 848397589821.

128985793848 is a `hidden beast` number, since 1 + 2 + 8 + 9 + 8 + 579 + 3 + 8 + 48 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128985793843) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 609886 + ... + 793682.

Almost surely, 2128985793848 is an apocalyptic number.

128985793848 is a gapful number since it is divisible by the number (18) 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 128985793848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191173813740).

128985793848 is an abundant number, since it is smaller than the sum of its proper divisors (253361833632).

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

128985793848 is a wasteful number, since it uses less digits than its factorization.

128985793848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183856 (or 183821 counting only the distinct ones).

The product of its digits is 278691840, while the sum is 72.

The spelling of 128985793848 in words is "one hundred twenty-eight billion, nine hundred eighty-five million, seven hundred ninety-three thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 38 54 57 72 76 81 108 114 152 162 171 216 228 243 324 342 361 456 486 513 648 684 722 972 1026 1083 1368 1444 1539 1944 2052 2166 2888 3078 3249 4104 4332 4617 6156 6498 8664 9234 9747 12312 12996 18468 19494 25992 29241 36936 38988 58482 77976 87723 116964 175446 183797 233928 350892 367594 551391 701784 735188 1102782 1470376 1654173 2205564 3308346 3492143 4411128 4962519 6616692 6984286 9925038 10476429 13233384 13968572 14887557 19850076 20952858 27937144 29775114 31429287 39700152 41905716 44662671 59550228 62858574 66350717 83811432 89325342 94287861 119100456 125717148 132701434 178650684 188575722 199052151 251434296 265402868 282863583 357301368 377151444 398104302 530805736 565727166 597156453 754302888 796208604 848590749 1131454332 1194312906 1592417208 1697181498 1791469359 2262908664 2388625812 3394362996 3582938718 4777251624 5374408077 6788725992 7165877436 10748816154 14331754872 16123224231 21497632308 32246448462 42995264616 64492896924 128985793848