Search a number
-
+
87638175804 = 2231710712013343
BaseRepresentation
bin101000110011110100…
…1000111000000111100
322101012122200121102010
41101213221013000330
52413440333111204
6104132130131220
76221520126504
oct1214751070074
9271178617363
1087638175804
1134192513673
1214b99a20b10
138358711a7a
144355378a04
15242dd46d89
hex1467a4703c

87638175804 has 96 divisors (see below), whose sum is σ = 218788770816. Its totient is φ = 27206553600.

The previous prime is 87638175767. The next prime is 87638175817. The reversal of 87638175804 is 40857183678.

It is a super-2 number, since 2×876381758042 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 26213757 + ... + 26217099.

It is an arithmetic number, because the mean of its divisors is an integer number (2279049696).

Almost surely, 287638175804 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 87638175804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109394385408).

87638175804 is an abundant number, since it is smaller than the sum of its proper divisors (131150595012).

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

87638175804 is a wasteful number, since it uses less digits than its factorization.

87638175804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4675 (or 4673 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 57.

The spelling of 87638175804 in words is "eighty-seven billion, six hundred thirty-eight million, one hundred seventy-five thousand, eight hundred four".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 107 204 214 321 428 642 1201 1284 1819 2402 3343 3603 3638 4804 5457 6686 7206 7276 10029 10914 13372 14412 20058 20417 21828 40116 40834 56831 61251 81668 113662 122502 128507 170493 227324 245004 257014 340986 357701 385521 514028 681972 715402 771042 1073103 1430804 1542084 2146206 2184619 4014943 4292412 4369238 6080917 6553857 8029886 8738476 12044829 12161834 13107714 16059772 18242751 24089658 24323668 26215428 36485502 48179316 68254031 72971004 136508062 204762093 273016124 409524186 429598901 819048372 859197802 1288796703 1718395604 2577593406 5155186812 7303181317 14606362634 21909543951 29212725268 43819087902 87638175804