Search a number
-
+
82879899608 = 231122316722291
BaseRepresentation
bin100110100110000000…
…1101110011111011000
321220221001011010120102
41031030001232133120
52324214223241413
6102024031514532
75662561344242
oct1151401563730
9256831133512
1082879899608
11321705a7300
1214090388a48
137a7a98881c
14402343b092
15225123c458
hex134c06e7d8

82879899608 has 96 divisors (see below), whose sum is σ = 179313281280. Its totient is φ = 35817355200.

The previous prime is 82879899589. The next prime is 82879899629. The reversal of 82879899608 is 80699897828.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3706943 + ... + 3729233.

It is an arithmetic number, because the mean of its divisors is an integer number (1867846680).

Almost surely, 282879899608 is an apocalyptic number.

82879899608 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82879899608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89656640640).

82879899608 is an abundant number, since it is smaller than the sum of its proper divisors (96433381672).

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

82879899608 is a wasteful number, since it uses less digits than its factorization.

82879899608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22509 (or 22494 counting only the distinct ones).

The product of its (nonzero) digits is 250822656, while the sum is 74.

The spelling of 82879899608 in words is "eighty-two billion, eight hundred seventy-nine million, eight hundred ninety-nine thousand, six hundred eight".

Divisors: 1 2 4 8 11 22 23 44 46 88 92 121 167 184 242 253 334 484 506 668 968 1012 1336 1837 2024 2783 3674 3841 5566 7348 7682 11132 14696 15364 20207 22264 22291 30728 40414 42251 44582 80828 84502 89164 161656 169004 178328 245201 338008 464761 490402 512693 929522 980804 1025386 1859044 1961608 2050772 2697211 3718088 3722597 4101544 5394422 5639623 7445194 10788844 11279246 14890388 21577688 22558492 29780776 40948567 45116984 62035853 81897134 85619731 124071706 163794268 171239462 248143412 327588536 342478924 450434237 496286824 684957848 900868474 941817041 1801736948 1883634082 3603473896 3767268164 7534536328 10359987451 20719974902 41439949804 82879899608