Search a number
-
+
89974201848 = 23331415949993
BaseRepresentation
bin101001111001011100…
…0010101110111111000
322121020110100000201020
41103302320111313320
52433231343424343
6105200015222440
76333434045166
oct1236270256770
9277213300636
1089974201848
1135181100603
1215530217a20
13863b68b9bb
1444d7704236
152518e82b83
hex14f2e15df8

89974201848 has 128 divisors (see below), whose sum is σ = 241890969600. Its totient is φ = 27835545600.

The previous prime is 89974201841. The next prime is 89974201861. The reversal of 89974201848 is 84810247998.

It is a happy number.

It is a Cunningham number, because it is equal to 2999572-1.

It is a junction number, because it is equal to n+sod(n) for n = 89974201791 and 89974201800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89974201841) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1774740 + ... + 1824732.

It is an arithmetic number, because the mean of its divisors is an integer number (1889773200).

Almost surely, 289974201848 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 89974201848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120945484800).

89974201848 is an abundant number, since it is smaller than the sum of its proper divisors (151916767752).

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

89974201848 is a wasteful number, since it uses less digits than its factorization.

89974201848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50133 (or 50129 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 60.

The spelling of 89974201848 in words is "eighty-nine billion, nine hundred seventy-four million, two hundred one thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 24 31 41 59 62 82 93 118 123 124 164 177 186 236 246 248 328 354 372 472 492 708 744 984 1271 1416 1829 2419 2542 3658 3813 4838 5084 5487 7257 7316 7626 9676 10168 10974 14514 14632 15252 19352 21948 29028 30504 43896 49993 58056 74989 99986 149978 149979 199972 224967 299956 299958 399944 449934 599912 599916 899868 1199832 1549783 1799736 2049713 2949587 3099566 4099426 4649349 5899174 6149139 6199132 8198852 8848761 9298698 11798348 12298278 12398264 16397704 17697522 18597396 23596696 24596556 35395044 37194792 49193112 63541103 70790088 91437197 120933067 127082206 182874394 190623309 241866134 254164412 274311591 362799201 365748788 381246618 483732268 508328824 548623182 725598402 731497576 762493236 967464536 1097246364 1451196804 1524986472 2194492728 2902393608 3748925077 7497850154 11246775231 14995700308 22493550462 29991400616 44987100924 89974201848