Search a number
-
+
306173804992 = 26118322323497
BaseRepresentation
bin1000111010010010110…
…00011000000111000000
31002021021210000211001021
410131021120120013000
520004020443224432
6352353155115224
731056162254656
oct4351130300700
91067253024037
10306173804992
11108936149380
124b408ba2b14
1322b44c0c863
1410b67074dd6
157e6e6c9697
hex47496181c0

306173804992 has 112 divisors (see below), whose sum is σ = 673818872832. Its totient is φ = 136870778880.

The previous prime is 306173804971. The next prime is 306173804999. The reversal of 306173804992 is 299408371603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (306173804999) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13018588 + ... + 13042084.

It is an arithmetic number, because the mean of its divisors is an integer number (6016239936).

Almost surely, 2306173804992 is an apocalyptic number.

306173804992 is a gapful number since it is divisible by the number (32) 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 306173804992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336909436416).

306173804992 is an abundant number, since it is smaller than the sum of its proper divisors (367645067840).

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

306173804992 is a wasteful number, since it uses less digits than its factorization.

306173804992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23826 (or 23816 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 52.

The spelling of 306173804992 in words is "three hundred six billion, one hundred seventy-three million, eight hundred four thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 83 88 166 176 223 332 352 446 664 704 892 913 1328 1784 1826 2453 2656 3568 3652 4906 5312 7136 7304 9812 14272 14608 18509 19624 23497 29216 37018 39248 46994 58432 74036 78496 93988 148072 156992 187976 203599 258467 296144 375952 407198 516934 592288 751904 814396 1033868 1184576 1503808 1628792 1950251 2067736 3257584 3900502 4135472 5239831 6515168 7801004 8270944 10479662 13030336 15602008 16541888 20959324 21452761 31204016 41918648 42905522 57638141 62408032 83837296 85811044 115276282 124816064 167674592 171622088 230552564 335349184 343244176 434905973 461105128 686488352 869811946 922210256 1372976704 1739623892 1844420512 3479247784 3688841024 4783965703 6958495568 9567931406 13916991136 19135862812 27833982272 38271725624 76543451248 153086902496 306173804992