Search a number
-
+
20153492515872 = 2533145116075673
BaseRepresentation
bin1001001010100010110011…
…10000110010110000100000
32122100122200112201012122000
410211101121300302300200
510120143323041001442
6110510215303244000
74150020221622102
oct445213160626040
978318615635560
1020153492515872
116470059141041
122315a6ba49600
13b3260a2ac121
144d96117bd572
1524e38a394d4c
hex125459c32c20

20153492515872 has 96 divisors (see below), whose sum is σ = 58821534192960. Its totient is φ = 6713200627200.

The previous prime is 20153492515861. The next prime is 20153492515889. The reversal of 20153492515872 is 27851529435102.

20153492515872 is a `hidden beast` number, since 2 + 0 + 1 + 5 + 3 + 4 + 9 + 2 + 51 + 587 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (54).

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 15 ways as a sum of consecutive naturals, for example, 6784173 + ... + 9291500.

It is an arithmetic number, because the mean of its divisors is an integer number (612724314510).

Almost surely, 220153492515872 is an apocalyptic number.

It is an amenable number.

20153492515872 is an abundant number, since it is smaller than the sum of its proper divisors (38668041677088).

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

20153492515872 is a wasteful number, since it uses less digits than its factorization.

20153492515872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16077143 (or 16077129 counting only the distinct ones).

The product of its (nonzero) digits is 6048000, while the sum is 54.

The spelling of 20153492515872 in words is "twenty trillion, one hundred fifty-three billion, four hundred ninety-two million, five hundred fifteen thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 1451 2902 4353 5804 8706 11608 13059 17412 23216 26118 34824 39177 46432 52236 69648 78354 104472 139296 156708 208944 313416 417888 626832 1253664 16075673 32151346 48227019 64302692 96454038 128605384 144681057 192908076 257210768 289362114 385816152 434043171 514421536 578724228 771632304 868086342 1157448456 1543264608 1736172684 2314896912 3472345368 4629793824 6944690736 13889381472 23325801523 46651603046 69977404569 93303206092 139954809138 186606412184 209932213707 279909618276 373212824368 419864427414 559819236552 629796641121 746425648736 839728854828 1119638473104 1259593282242 1679457709656 2239276946208 2519186564484 3358915419312 5038373128968 6717830838624 10076746257936 20153492515872