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116258524240 = 245171633671429
BaseRepresentation
bin110110001000110001…
…1000100110001010000
3102010002020220221122011
41230101203010301100
53401044140233430
6125224115352304
711253665102545
oct1542143046120
9363066827564
10116258524240
11453399a6aa1
121a6468b2694
13ac6a0012a1
1458ac48abcc
15305679a22a
hex1b118c4c50

116258524240 has 160 divisors (see below), whose sum is σ = 288943649280. Its totient is φ = 43350515712.

The previous prime is 116258524229. The next prime is 116258524247. The reversal of 116258524240 is 42425852611.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 116258524193 and 116258524202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116258524247) 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, 81355846 + ... + 81357274.

It is an arithmetic number, because the mean of its divisors is an integer number (1805897808).

Almost surely, 2116258524240 is an apocalyptic number.

116258524240 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 116258524240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144471824640).

116258524240 is an abundant number, since it is smaller than the sum of its proper divisors (172685125040).

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

116258524240 is a wasteful number, since it uses less digits than its factorization.

116258524240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1989 (or 1983 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 40.

The spelling of 116258524240 in words is "one hundred sixteen billion, two hundred fifty-eight million, five hundred twenty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 163 170 272 326 340 367 652 680 734 815 1304 1360 1429 1468 1630 1835 2608 2771 2858 2936 3260 3670 5542 5716 5872 6239 6520 7145 7340 11084 11432 12478 13040 13855 14290 14680 22168 22864 24293 24956 27710 28580 29360 31195 44336 48586 49912 55420 57160 59821 62390 97172 99824 110840 114320 119642 121465 124780 194344 221680 232927 239284 242930 249560 299105 388688 465854 478568 485860 499120 524443 598210 931708 957136 971720 1016957 1048886 1164635 1196420 1863416 1943440 2033914 2097772 2329270 2392840 2622215 3726832 3959759 4067828 4195544 4658540 4785680 5084785 5244430 7919518 8135656 8391088 8915531 9317080 10169570 10488860 15839036 16271312 17831062 18634160 19798795 20339140 20977720 31678072 35662124 39597590 40678280 41955440 44577655 63356144 71324248 79195180 81356560 85484209 89155310 142648496 158390360 170968418 178310620 316780720 341936836 356621240 427421045 683873672 713242480 854842090 1367747344 1453231553 1709684180 2906463106 3419368360 5812926212 6838736720 7266157765 11625852424 14532315530 23251704848 29064631060 58129262120 116258524240