Search a number
-
+
705493971384 = 2333713719729437
BaseRepresentation
bin10100100010000101011…
…01111011000110111000
32111110000002101001122120
422101002231323012320
543024322424041014
61300033252121240
7101653540545546
oct12210255730670
92443002331576
10705493971384
1125221aa55714
12b4890606220
13516b274c897
1426208c2cd96
1513541585ba9
hexa442b7b1b8

705493971384 has 128 divisors (see below), whose sum is σ = 1833949719360. Its totient is φ = 225978052608.

The previous prime is 705493971373. The next prime is 705493971397. The reversal of 705493971384 is 483179394507.

It is a super-4 number, since 4×7054939713844 (a number of 48 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23951514 + ... + 23980950.

Almost surely, 2705493971384 is an apocalyptic number.

705493971384 is a gapful number since it is divisible by the number (74) 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 705493971384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (916974859680).

705493971384 is an abundant number, since it is smaller than the sum of its proper divisors (1128455747976).

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

705493971384 is a wasteful number, since it uses less digits than its factorization.

705493971384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29817 (or 29813 counting only the distinct ones).

The product of its (nonzero) digits is 22861440, while the sum is 60.

The spelling of 705493971384 in words is "seven hundred five billion, four hundred ninety-three million, nine hundred seventy-one thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 24 37 74 111 137 148 197 222 274 296 394 411 444 548 591 788 822 888 1096 1182 1576 1644 2364 3288 4728 5069 7289 10138 14578 15207 20276 21867 26989 29156 29437 30414 40552 43734 53978 58312 58874 60828 80967 87468 88311 107956 117748 121656 161934 174936 176622 215912 235496 323868 353244 647736 706488 998593 1089169 1997186 2178338 2995779 3267507 3994372 4032869 4356676 5799089 5991558 6535014 7988744 8065738 8713352 11598178 11983116 12098607 13070028 16131476 17397267 23196356 23966232 24197214 26140056 32262952 34794534 46392712 48394428 69589068 96788856 139178136 149216153 214566293 298432306 429132586 447648459 596864612 643698879 794475193 858265172 895296918 1193729224 1287397758 1588950386 1716530344 1790593836 2383425579 2574795516 3177900772 3581187672 4766851158 5149591032 6355801544 9533702316 19067404632 29395582141 58791164282 88186746423 117582328564 176373492846 235164657128 352746985692 705493971384