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58995131000 = 23531337122651
BaseRepresentation
bin110110111100011000…
…100100001001111000
312122021110202011121212
4312330120210021320
51431310223143000
643034010222252
74155645224321
oct667430441170
9178243664555
1058995131000
1123024239113
12b525424988
135742506a50
142bd9239448
15180440dc35
hexdbc624278

58995131000 has 128 divisors (see below), whose sum is σ = 152687021760. Its totient is φ = 21193920000.

The previous prime is 58995130951. The next prime is 58995131021. The reversal of 58995131000 is 13159985.

It is a super-2 number, since 2×589951310002 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 419675 + ... + 542325.

Almost surely, 258995131000 is an apocalyptic number.

58995131000 is a gapful number since it is divisible by the number (50) 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 58995131000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76343510880).

58995131000 is an abundant number, since it is smaller than the sum of its proper divisors (93691890760).

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

58995131000 is a wasteful number, since it uses less digits than its factorization.

58995131000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122722 (or 122708 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 41.

The spelling of 58995131000 in words is "fifty-eight billion, nine hundred ninety-five million, one hundred thirty-one thousand".

Divisors: 1 2 4 5 8 10 13 20 25 26 37 40 50 52 65 74 100 104 125 130 148 185 200 250 260 296 325 370 481 500 520 650 740 925 962 1000 1300 1480 1625 1850 1924 2405 2600 3250 3700 3848 4625 4810 6500 7400 9250 9620 12025 13000 18500 19240 24050 37000 48100 60125 96200 120250 122651 240500 245302 481000 490604 613255 981208 1226510 1594463 2453020 3066275 3188926 4538087 4906040 6132550 6377852 7972315 9076174 12265100 12755704 15331375 15944630 18152348 22690435 24530200 30662750 31889260 36304696 39861575 45380870 58995131 61325500 63778520 79723150 90761740 113452175 117990262 122651000 159446300 181523480 199307875 226904350 235980524 294975655 318892600 398615750 453808700 471961048 567260875 589951310 797231500 907617400 1134521750 1179902620 1474878275 1594463000 2269043500 2359805240 2949756550 4538087000 5899513100 7374391375 11799026200 14748782750 29497565500 58995131000