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102147236808 = 23347676472089
BaseRepresentation
bin101111100100001110…
…0110010001111001000
3100202122211001021101220
41133020130302033020
53133144143034213
6114531545442040
710244206121061
oct1371034621710
9322584037356
10102147236808
113a3584a7981
1217968aa0320
13982b629076
144d302c5568
1529cc9d2e23
hex17c87323c8

102147236808 has 128 divisors (see below), whose sum is σ = 265230028800. Its totient is φ = 32760820224.

The previous prime is 102147236767. The next prime is 102147236831. The reversal of 102147236808 is 808632741201.

102147236808 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 102147236808.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48896628 + ... + 48898716.

It is an arithmetic number, because the mean of its divisors is an integer number (2072109600).

Almost surely, 2102147236808 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 102147236808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132615014400).

102147236808 is an abundant number, since it is smaller than the sum of its proper divisors (163082791992).

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

102147236808 is a wasteful number, since it uses less digits than its factorization.

102147236808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2859 (or 2855 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The spelling of 102147236808 in words is "one hundred two billion, one hundred forty-seven million, two hundred thirty-six thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 12 24 47 67 94 134 141 188 201 268 282 376 402 536 564 647 804 1128 1294 1608 1941 2089 2588 3149 3882 4178 5176 6267 6298 7764 8356 9447 12534 12596 15528 16712 18894 25068 25192 30409 37788 43349 50136 60818 75576 86698 91227 98183 121636 130047 139963 173396 182454 196366 243272 260094 279926 294549 346792 364908 392732 419889 520188 559852 589098 729816 785464 839778 1040376 1119704 1178196 1351583 1679556 2037403 2356392 2703166 3359112 4054749 4074806 5406332 6112209 6578261 8109498 8149612 10812664 12224418 13156522 16218996 16299224 19734783 24448836 26313044 32437992 39469566 48897672 52626088 63524401 78939132 90556061 127048802 157878264 181112122 190573203 254097604 271668183 362224244 381146406 508195208 543336366 724448488 762292812 1086672732 1524585624 2173345464 4256134867 8512269734 12768404601 17024539468 25536809202 34049078936 51073618404 102147236808