Search a number
-
+
46490458680 = 233195
BaseRepresentation
bin101011010011000011…
…000001101000111000
311110000000000000000000
4223103003001220320
51230203024134210
633205111513000
73234035243601
oct532303015070
9143000000000
1046490458680
1118797719786
129015688760
1344cb942563
1423705aada8
151321700ac0
hexad30c1a38

46490458680 has 160 divisors (see below), whose sum is σ = 156905298000. Its totient is φ = 12397455648.

The previous prime is 46490458673. The next prime is 46490458709. The reversal of 46490458680 is 8685409464.

46490458680 is a `hidden beast` number, since 46 + 4 + 90 + 458 + 68 + 0 = 666.

It is a super-2 number, since 2×464904586802 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nialpdrome in base 3.

It is a zygodrome in base 3.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 9298091734 + ... + 9298091738.

Almost surely, 246490458680 is an apocalyptic number.

46490458680 is a gapful number since it is divisible by the number (40) 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 46490458680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78452649000).

46490458680 is an abundant number, since it is smaller than the sum of its proper divisors (110414839320).

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

46490458680 is an frugal number, since it uses more digits than its factorization.

46490458680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 46490458680 in words is "forty-six billion, four hundred ninety million, four hundred fifty-eight thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 243 270 324 360 405 486 540 648 729 810 972 1080 1215 1458 1620 1944 2187 2430 2916 3240 3645 4374 4860 5832 6561 7290 8748 9720 10935 13122 14580 17496 19683 21870 26244 29160 32805 39366 43740 52488 59049 65610 78732 87480 98415 118098 131220 157464 177147 196830 236196 262440 295245 354294 393660 472392 531441 590490 708588 787320 885735 1062882 1180980 1417176 1594323 1771470 2125764 2361960 2657205 3188646 3542940 4251528 4782969 5314410 6377292 7085880 7971615 9565938 10628820 12754584 14348907 15943230 19131876 21257640 23914845 28697814 31886460 38263752 43046721 47829690 57395628 63772920 71744535 86093442 95659380 114791256 129140163 143489070 172186884 191318760 215233605 258280326 286978140 344373768 387420489 430467210 516560652 573956280 645700815 774840978 860934420 1033121304 1162261467 1291401630 1549681956 1721868840 1937102445 2324522934 2582803260 3099363912 3874204890 4649045868 5165606520 5811307335 7748409780 9298091736 11622614670 15496819560 23245229340 46490458680