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5187400369290 = 2325831973525031
BaseRepresentation
bin100101101111100100100…
…1010000000010010001010
3200100220120211222020212100
41023133021022000102022
51134442243443304130
615011020412454230
71043530421421666
oct113371112002212
920326524866770
105187400369290
11171aa67300717
126b9429a7a376
132b8228c52149
1413d10035b8a6
158ee0997bc60
hex4b7c928048a

5187400369290 has 96 divisors (see below), whose sum is σ = 13719029740416. Its totient is φ = 1359702771840.

The previous prime is 5187400369289. The next prime is 5187400369379. The reversal of 5187400369290 is 929630047815.

5187400369290 is a `hidden beast` number, since 5 + 187 + 400 + 36 + 9 + 29 + 0 = 666.

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 47 ways as a sum of consecutive naturals, for example, 290926 + ... + 3234105.

It is an arithmetic number, because the mean of its divisors is an integer number (142906559796).

It is a 1-persistent number, because it is pandigital, but 2⋅5187400369290 = 10374800738580 is not.

Almost surely, 25187400369290 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5187400369290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6859514870208).

5187400369290 is an abundant number, since it is smaller than the sum of its proper divisors (8531629371126).

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

5187400369290 is a wasteful number, since it uses less digits than its factorization.

5187400369290 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3525324 (or 3525321 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 5187400369290 in words is "five trillion, one hundred eighty-seven billion, four hundred million, three hundred sixty-nine thousand, two hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 83 90 166 197 249 394 415 498 591 747 830 985 1182 1245 1494 1773 1970 2490 2955 3546 3735 5910 7470 8865 16351 17730 32702 49053 81755 98106 147159 163510 245265 294318 490530 735795 1471590 3525031 7050062 10575093 17625155 21150186 31725279 35250310 52875465 63450558 105750930 158626395 292577573 317252790 585155146 694431107 877732719 1388862214 1462887865 1755465438 2083293321 2633198157 2925775730 3472155535 4166586642 4388663595 5266396314 6249879963 6944311070 8777327190 10416466605 12499759926 13165990785 20832933210 26331981570 31249399815 57637781881 62498799630 115275563762 172913345643 288188909405 345826691286 518740036929 576377818810 864566728215 1037480073858 1729133456430 2593700184645 5187400369290