Search a number
-
+
58839381264 = 24323832832269
BaseRepresentation
bin110110110011000110…
…011011010100010000
312121212121200021011010
4312303012123110100
51431000340200024
643010324050520
74152044326416
oct666306332420
9177777607133
1058839381264
1122a5432a024
12b4a1233a40
135719173a41
142bc26952b6
1517e58e5b29
hexdb319b510

58839381264 has 160 divisors (see below), whose sum is σ = 161159685120. Its totient is φ = 18460721664.

The previous prime is 58839381259. The next prime is 58839381323. The reversal of 58839381264 is 46218393885.

It is a super-3 number, since 3×588393812643 (a number of 33 digits) contains 333 as substring.

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, 25930722 + ... + 25932990.

It is an arithmetic number, because the mean of its divisors is an integer number (1007248032).

Almost surely, 258839381264 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 58839381264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80579842560).

58839381264 is an abundant number, since it is smaller than the sum of its proper divisors (102320303856).

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

58839381264 is a wasteful number, since it uses less digits than its factorization.

58839381264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2669 (or 2663 counting only the distinct ones).

The product of its digits is 9953280, while the sum is 57.

The spelling of 58839381264 in words is "fifty-eight billion, eight hundred thirty-nine million, three hundred eighty-one thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 83 92 138 166 184 249 276 283 332 368 498 552 566 664 849 996 1104 1132 1328 1698 1909 1992 2264 2269 3396 3818 3984 4528 4538 5727 6509 6792 6807 7636 9076 11454 13018 13584 13614 15272 18152 19527 22908 23489 26036 27228 30544 36304 39054 45816 46978 52072 52187 54456 70467 78108 91632 93956 104144 104374 108912 140934 156216 156561 187912 188327 208748 281868 312432 313122 375824 376654 417496 540247 563736 564981 626244 642127 753308 834992 1080494 1127472 1129962 1252488 1284254 1506616 1620741 1926381 2160988 2259924 2504976 2568508 3013232 3241482 3852762 4321976 4331521 4519848 5137016 6482964 7705524 8643952 8663042 9039696 10274032 12965928 12994563 14768921 15411048 17326084 25931856 25989126 29537842 30822096 34652168 44306763 51978252 53296541 59075684 69304336 88613526 103956504 106593082 118151368 159889623 177227052 207913008 213186164 236302736 319779246 354454104 426372328 639558492 708908208 852744656 1225820443 1279116984 2451640886 2558233968 3677461329 4903281772 7354922658 9806563544 14709845316 19613127088 29419690632 58839381264