Search a number
-
+
2087542013984 = 25737258711597
BaseRepresentation
bin11110011000001011001…
…100110100000000100000
321101120022101120221011022
4132120023030310000200
5233200241223421414
64235000434105012
7303551144226440
oct36301314640040
97346271527138
102087542013984
1173535a054679
122986b571b168
13121b1507764b
1473075156120
153947d67c18e
hex1e60b334020

2087542013984 has 144 divisors (see below), whose sum is σ = 4835986327872. Its totient is φ = 868922975232.

The previous prime is 2087542013981. The next prime is 2087542013989. The reversal of 2087542013984 is 4893102457802.

It is not an unprimeable number, because it can be changed into a prime (2087542013981) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 180001274 + ... + 180012870.

It is an arithmetic number, because the mean of its divisors is an integer number (33583238388).

Almost surely, 22087542013984 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 2087542013984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2417993163936).

2087542013984 is an abundant number, since it is smaller than the sum of its proper divisors (2748444313888).

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

2087542013984 is a wasteful number, since it uses less digits than its factorization.

2087542013984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12275 (or 12230 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 53.

The spelling of 2087542013984 in words is "two trillion, eighty-seven billion, five hundred forty-two million, thirteen thousand, nine hundred eighty-four".

Divisors: 1 2 4 7 8 14 16 28 32 37 56 74 112 148 224 259 296 518 587 592 1036 1174 1184 1369 2072 2348 2738 4109 4144 4696 5476 8218 8288 9392 9583 10952 11597 16436 18784 19166 21719 21904 23194 32872 38332 43438 43808 46388 65744 76664 81179 86876 92776 131488 152033 153328 162358 173752 185552 304066 306656 324716 347504 371104 429089 608132 649432 695008 803603 858178 1216264 1298864 1607206 1716356 2432528 2597728 3003623 3214412 3432712 4865056 5625221 6007246 6428824 6807439 6865424 11250442 12014492 12857648 13614878 13730848 15876293 22500884 24028984 25715296 27229756 31752586 45001768 47652073 48057968 54459512 63505172 90003536 95304146 96115936 108919024 111134051 127010344 180007072 190608292 217838048 222268102 251875243 254020688 381216584 444536204 503750486 508041376 762433168 889072408 1007500972 1524866336 1763126701 1778144816 2015001944 3526253402 3556289632 4030003888 7052506804 8060007776 9319383991 14105013608 18638767982 28210027216 37277535964 56420054432 65235687937 74555071928 130471375874 149110143856 260942751748 298220287712 521885503496 1043771006992 2087542013984