Search a number
-
+
26528916090 = 2352922414363
BaseRepresentation
bin11000101101001111…
…110010001001111010
32112110211211120101210
4120231033302021322
5413312400303330
620104234423550
71626261031455
oct305517621172
975424746353
1026528916090
1110283977346
125184591bb6
13266a2112b1
1413d945649c
15a5402e8b0
hex62d3f227a

26528916090 has 96 divisors (see below), whose sum is σ = 66229390656. Its totient is φ = 6800532480.

The previous prime is 26528916083. The next prime is 26528916107. The reversal of 26528916090 is 9061982562.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6078249 + ... + 6082611.

It is an arithmetic number, because the mean of its divisors is an integer number (689889486).

Almost surely, 226528916090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26528916090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33114695328).

26528916090 is an abundant number, since it is smaller than the sum of its proper divisors (39700474566).

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

26528916090 is a wasteful number, since it uses less digits than its factorization.

26528916090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4672 (or 4643 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 48.

The spelling of 26528916090 in words is "twenty-six billion, five hundred twenty-eight million, nine hundred sixteen thousand, ninety".

Divisors: 1 2 3 5 6 10 15 29 30 58 87 145 174 241 290 435 482 723 841 870 1205 1446 1682 2410 2523 3615 4205 4363 5046 6989 7230 8410 8726 12615 13089 13978 20967 21815 25230 26178 34945 41934 43630 65445 69890 104835 126527 130890 202681 209670 253054 379581 405362 608043 632635 759162 1013405 1051483 1216086 1265270 1897905 2026810 2102966 3040215 3154449 3669283 3795810 5257415 6080430 6308898 7338566 10514830 11007849 15772245 18346415 22015698 30493007 31544490 36692830 55039245 60986014 91479021 110078490 152465035 182958042 304930070 457395105 884297203 914790210 1768594406 2652891609 4421486015 5305783218 8842972030 13264458045 26528916090