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115507207640 = 235112944920161
BaseRepresentation
bin110101110010011000…
…1000001110111011000
3102001010220012010000102
41223210301001313120
53343024321121030
6125021400154532
711226243031256
oct1534461016730
9361126163012
10115507207640
1144a93897790
121a477168a48
13ab7a465456
14583a7955d6
15301083cc45
hex1ae4c41dd8

115507207640 has 128 divisors (see below), whose sum is σ = 293961960000. Its totient is φ = 40461926400.

The previous prime is 115507207631. The next prime is 115507207649. The reversal of 115507207640 is 46702705511.

It is an interprime number because it is at equal distance from previous prime (115507207631) and next prime (115507207649).

It is a junction number, because it is equal to n+sod(n) for n = 115507207594 and 115507207603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115507207649) 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, 5719160 + ... + 5739320.

Almost surely, 2115507207640 is an apocalyptic number.

115507207640 is a gapful number since it is divisible by the number (10) 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 115507207640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146980980000).

115507207640 is an abundant number, since it is smaller than the sum of its proper divisors (178454752360).

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

115507207640 is a wasteful number, since it uses less digits than its factorization.

115507207640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20661 (or 20657 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 38.

The spelling of 115507207640 in words is "one hundred fifteen billion, five hundred seven million, two hundred seven thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 29 40 44 55 58 88 110 116 145 220 232 290 319 440 449 580 638 898 1160 1276 1595 1796 2245 2552 3190 3592 4490 4939 6380 8980 9878 12760 13021 17960 19756 20161 24695 26042 39512 40322 49390 52084 65105 80644 98780 100805 104168 130210 143231 161288 197560 201610 221771 260420 286462 403220 443542 520840 572924 584669 716155 806440 887084 1108855 1145848 1169338 1432310 1774168 2217710 2338676 2864620 2923345 4435420 4677352 5729240 5846690 6431359 8870840 9052289 11693380 12862718 18104578 23386760 25725436 32156795 36209156 45261445 51450872 64313590 72418312 90522890 99575179 128627180 181045780 199150358 257254360 262516381 362091560 398300716 497875895 525032762 796601432 995751790 1050065524 1312581905 1991503580 2100131048 2625163810 2887680191 3983007160 5250327620 5775360382 10500655240 11550720764 14438400955 23101441528 28876801910 57753603820 115507207640