Search a number
-
+
93046234320 = 24325139940837
BaseRepresentation
bin101011010100111111…
…1001101110011010000
322220011112220110000200
41112221333031303100
53011024313444240
6110424515415200
76502525641114
oct1265177156320
9286145813020
1093046234320
11365081a0016
1216048bb4500
138a0ac73bb0
1447096db744
152648a04930
hex15a9fcdcd0

93046234320 has 120 divisors (see below), whose sum is σ = 336517247976. Its totient is φ = 22903686144.

The previous prime is 93046234301. The next prime is 93046234409. The reversal of 93046234320 is 2343264039.

93046234320 is a `hidden beast` number, since 9 + 3 + 0 + 4 + 623 + 4 + 3 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7644354624 + 85401879696 = 87432^2 + 292236^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×930462343202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 4961059 + ... + 4979778.

Almost surely, 293046234320 is an apocalyptic number.

93046234320 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

93046234320 is an abundant number, since it is smaller than the sum of its proper divisors (243471013656).

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

93046234320 is a wasteful number, since it uses less digits than its factorization.

93046234320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9940869 (or 9940860 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 36.

Adding to 93046234320 its reverse (2343264039), we get a palindrome (95389498359).

The spelling of 93046234320 in words is "ninety-three billion, forty-six million, two hundred thirty-four thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 30 36 39 40 45 48 52 60 65 72 78 80 90 104 117 120 130 144 156 180 195 208 234 240 260 312 360 390 468 520 585 624 720 780 936 1040 1170 1560 1872 2340 3120 4680 9360 9940837 19881674 29822511 39763348 49704185 59645022 79526696 89467533 99408370 119290044 129230881 149112555 159053392 178935066 198816740 238580088 258461762 298225110 357870132 387692643 397633480 447337665 477160176 516923524 596450220 646154405 715740264 775385286 795266960 894675330 1033847048 1163077929 1192900440 1292308810 1431480528 1550770572 1789350660 1938463215 2067694096 2326155858 2385800880 2584617620 3101541144 3578701320 3876926430 4652311716 5169235240 5815389645 6203082288 7157402640 7753852860 9304623432 10338470480 11630779290 15507705720 18609246864 23261558580 31015411440 46523117160 93046234320