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4946373659480 = 23511171016965029
BaseRepresentation
bin100011111111010101011…
…0110000100101101011000
3122111212110021200202210012
41013332222312010231120
51122020133124100410
614304155505541052
71020235515250061
oct107765266045530
918455407622705
104946373659480
111637821a85180
1267a782644788
1329b596c51026
141315975ab568
15889ee815605
hex47faad84b58

4946373659480 has 128 divisors (see below), whose sum is σ = 12856743144000. Its totient is φ = 1692684042240.

The previous prime is 4946373659473. The next prime is 4946373659537. The reversal of 4946373659480 is 849563736494.

It is a super-2 number, since 2×49463736594802 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (68).

It is a self number, because there is not a number n which added to its sum of digits gives 4946373659480.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 76031606 + ... + 76096634.

Almost surely, 24946373659480 is an apocalyptic number.

4946373659480 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 4946373659480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6428371572000).

4946373659480 is an abundant number, since it is smaller than the sum of its proper divisors (7910369484520).

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

4946373659480 is a wasteful number, since it uses less digits than its factorization.

4946373659480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75237 (or 75233 counting only the distinct ones).

The product of its (nonzero) digits is 470292480, while the sum is 68.

The spelling of 4946373659480 in words is "four trillion, nine hundred forty-six billion, three hundred seventy-three million, six hundred fifty-nine thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 11 17 20 22 34 40 44 55 68 85 88 110 136 170 187 220 340 374 440 680 748 935 1496 1870 3740 7480 10169 20338 40676 50845 65029 81352 101690 111859 130058 172873 203380 223718 260116 325145 345746 406760 447436 520232 559295 650290 691492 715319 864365 894872 1105493 1118590 1300580 1382984 1430638 1728730 1901603 2210986 2237180 2601160 2861276 3457460 3576595 3803206 4421972 4474360 5527465 5722552 6914920 7153190 7606412 8843944 9508015 11054930 12160423 14306380 15212824 19016030 22109860 24320846 28612760 38032060 44219720 48641692 60802115 76064120 97283384 121604230 243208460 486416920 661279901 1322559802 2645119604 3306399505 5290239208 6612799010 7274078911 11241758317 13225598020 14548157822 22483516634 26451196040 29096315644 36370394555 44967033268 56208791585 58192631288 72740789110 89934066536 112417583170 123659341487 145481578220 224835166340 247318682974 290963156440 449670332680 494637365948 618296707435 989274731896 1236593414870 2473186829740 4946373659480