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87025574130 = 235113595691291
BaseRepresentation
bin101000100001100100…
…0001110000011110010
322022121221222012220020
41101003020032003302
52411212021333010
6103551244024310
76200401114005
oct1210310160362
9268557865806
1087025574130
11339a87389a0
1214a48832096
13828b823381
1442d7c7153c
1523e518a470
hex144320e0f2

87025574130 has 128 divisors (see below), whose sum is σ = 229062297600. Its totient is φ = 20985100800.

The previous prime is 87025573997. The next prime is 87025574131. The reversal of 87025574130 is 3147552078.

It is a super-2 number, since 2×870255741302 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (87025574131) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 67408785 + ... + 67410075.

It is an arithmetic number, because the mean of its divisors is an integer number (1789549200).

Almost surely, 287025574130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87025574130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114531148800).

87025574130 is an abundant number, since it is smaller than the sum of its proper divisors (142036723470).

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

87025574130 is a wasteful number, since it uses less digits than its factorization.

87025574130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2240.

The product of its (nonzero) digits is 235200, while the sum is 42.

The spelling of 87025574130 in words is "eighty-seven billion, twenty-five million, five hundred seventy-four thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 330 359 569 718 1077 1138 1291 1707 1795 2154 2582 2845 3414 3590 3873 3949 5385 5690 6259 6455 7746 7898 8535 10770 11847 12518 12910 14201 17070 18777 19365 19745 23694 28402 31295 37554 38730 39490 42603 59235 62590 71005 85206 93885 118470 142010 187770 204271 213015 408542 426030 463469 612813 734579 926938 1021355 1225626 1390407 1469158 2042710 2203737 2246981 2317345 2780814 3064065 3672895 4407474 4493962 4634690 5098159 6128130 6740943 6952035 7345790 8080369 10196318 11018685 11234905 13481886 13904070 15294477 16160738 22037370 22469810 24241107 25490795 30588954 33704715 40401845 48482214 50981590 67409430 76472385 80803690 121205535 152944770 242411070 263713861 527427722 791141583 1318569305 1582283166 2637138610 2900852471 3955707915 5801704942 7911415830 8702557413 14504262355 17405114826 29008524710 43512787065 87025574130