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55313333040 = 24357271121493
BaseRepresentation
bin110011100000111011…
…100111101100110000
312021202212210110022110
4303200323213230300
51401240203124130
641224404405320
73665500400430
oct634073475460
9167685713273
1055313333040
1121504a30889
12a8783a6840
1352a67b7084
14296a2762c0
15168b090ab0
hexce0ee7b30

55313333040 has 160 divisors (see below), whose sum is σ = 196691982336. Its totient is φ = 12596290560.

The previous prime is 55313332999. The next prime is 55313333051. The reversal of 55313333040 is 4033331355.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 55313332989 and 55313333007.

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, 394534 + ... + 516026.

Almost surely, 255313333040 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 55313333040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98345991168).

55313333040 is an abundant number, since it is smaller than the sum of its proper divisors (141378649296).

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

55313333040 is a wasteful number, since it uses less digits than its factorization.

55313333040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121787 (or 121781 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 30.

Adding to 55313333040 its reverse (4033331355), we get a palindrome (59346664395).

The spelling of 55313333040 in words is "fifty-five billion, three hundred thirteen million, three hundred thirty-three thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 271 280 336 420 542 560 813 840 1084 1355 1626 1680 1897 2168 2710 3252 3794 4065 4336 5420 5691 6504 7588 8130 9485 10840 11382 13008 15176 16260 18970 21680 22764 28455 30352 32520 37940 45528 56910 65040 75880 91056 113820 121493 151760 227640 242986 364479 455280 485972 607465 728958 850451 971944 1214930 1457916 1700902 1822395 1943888 2429860 2551353 2915832 3401804 3644790 4252255 4859720 5102706 5831664 6803608 7289580 8504510 9719440 10205412 12756765 13607216 14579160 17009020 20410824 25513530 29158320 32924603 34018040 40821648 51027060 65849206 68036080 98773809 102054120 131698412 164623015 197547618 204108240 230472221 263396824 329246030 395095236 460944442 493869045 526793648 658492060 691416663 790190472 921888884 987738090 1152361105 1316984120 1382833326 1580380944 1843777768 1975476180 2304722210 2633968240 2765666652 3457083315 3687555536 3950952360 4609444420 5531333304 6914166630 7901904720 9218888840 11062666608 13828333260 18437777680 27656666520 55313333040