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5248189780164 = 223217191439710211
BaseRepresentation
bin100110001011111000001…
…1111001101000011000100
3200120201111100222021202100
41030113300133031003010
51141441243040431124
615054552440512100
71051112015041062
oct114276037150304
920521440867670
105248189780164
111743821346861
1270917417b630
132c0b960c5456
141420299c1032
15917b66641c9
hex4c5f07cd0c4

5248189780164 has 144 divisors (see below), whose sum is σ = 14124762602496. Its totient is φ = 1637337676800.

The previous prime is 5248189780153. The next prime is 5248189780187. The reversal of 5248189780164 is 4610879818425.

5248189780164 is a `hidden beast` number, since 5 + 2 + 481 + 8 + 97 + 8 + 0 + 1 + 64 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 513969019 + ... + 513979229.

It is an arithmetic number, because the mean of its divisors is an integer number (98088629184).

Almost surely, 25248189780164 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5248189780164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7062381301248).

5248189780164 is an abundant number, since it is smaller than the sum of its proper divisors (8876572822332).

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

5248189780164 is a wasteful number, since it uses less digits than its factorization.

5248189780164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14826 (or 14821 counting only the distinct ones).

The product of its (nonzero) digits is 30965760, while the sum is 63.

The spelling of 5248189780164 in words is "five trillion, two hundred forty-eight billion, one hundred eighty-nine million, seven hundred eighty thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 191 204 306 382 573 612 764 1146 1719 2292 3247 3438 4397 6494 6876 8794 9741 10211 12988 13191 17588 19482 20422 26382 29223 30633 38964 39573 40844 52764 58446 61266 74749 79146 91899 116892 122532 149498 158292 173587 183798 224247 298996 347174 367596 448494 520761 672741 694348 839827 896988 1041522 1345482 1562283 1679654 1950301 2083044 2519481 2690964 3124566 3359308 3900602 5038962 5850903 6249132 7558443 7801204 10077924 11701806 14277059 15116886 17552709 23403612 28554118 30233772 33155117 35105418 42831177 44897767 57108236 66310234 70210836 85662354 89795534 99465351 128493531 132620468 134693301 171324708 179591068 198930702 256987062 269386602 298396053 397861404 404079903 513974124 538773204 596792106 763262039 808159806 1193584212 1526524078 1616319612 2289786117 3053048156 4579572234 6869358351 8575473497 9159144468 13738716702 17150946994 25726420491 27477433404 34301893988 51452840982 77179261473 102905681964 145783049449 154358522946 291566098898 308717045892 437349148347 583132197796 874698296694 1312047445041 1749396593388 2624094890082 5248189780164