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89674187440 = 24529113342059
BaseRepresentation
bin101001110000011111…
…1111000001010110000
322120110112210201022111
41103200333320022300
52432123042444230
6105110141015104
76323132005465
oct1234077701260
9276415721274
1089674187440
1135037817312
1215467854494
1385c1487496
1444a992966c
1524ec96e92a
hex14e0ff82b0

89674187440 has 80 divisors (see below), whose sum is σ = 217591207200. Its totient is φ = 34326204416.

The previous prime is 89674187401. The next prime is 89674187459. The reversal of 89674187440 is 4478147698.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×896741874403 (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (58).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 91131 + ... + 433189.

It is an arithmetic number, because the mean of its divisors is an integer number (2719890090).

Almost surely, 289674187440 is an apocalyptic number.

89674187440 is a gapful number since it is divisible by the number (80) 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 89674187440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108795603600).

89674187440 is an abundant number, since it is smaller than the sum of its proper divisors (127917019760).

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

89674187440 is a wasteful number, since it uses less digits than its factorization.

89674187440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342214 (or 342208 counting only the distinct ones).

The product of its (nonzero) digits is 10838016, while the sum is 58.

The spelling of 89674187440 in words is "eighty-nine billion, six hundred seventy-four million, one hundred eighty-seven thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 29 40 58 80 113 116 145 226 232 290 452 464 565 580 904 1130 1160 1808 2260 2320 3277 4520 6554 9040 13108 16385 26216 32770 52432 65540 131080 262160 342059 684118 1368236 1710295 2736472 3420590 5472944 6841180 9919711 13682360 19839422 27364720 38652667 39678844 49598555 77305334 79357688 99197110 154610668 158715376 193263335 198394220 309221336 386526670 396788440 618442672 773053340 793576880 1120927343 1546106680 2241854686 3092213360 4483709372 5604636715 8967418744 11209273430 17934837488 22418546860 44837093720 89674187440