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55165351350 = 235211314512243
BaseRepresentation
bin110011011000000111…
…000111010110110110
312021101120100012121010
4303120013013112312
51400434312220400
641202000533050
73662022515064
oct633007072666
9167346305533
1055165351350
1121439447a6a
12a836921186
135281c43a45
142954755034
15167d0ae450
hexcd81c75b6

55165351350 has 96 divisors (see below), whose sum is σ = 138177477504. Its totient is φ = 14564032000.

The previous prime is 55165351343. The next prime is 55165351357. The reversal of 55165351350 is 5315356155.

It is an interprime number because it is at equal distance from previous prime (55165351343) and next prime (55165351357).

It is a junction number, because it is equal to n+sod(n) for n = 55165351299 and 55165351308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55165351357) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 24593329 + ... + 24595571.

It is an arithmetic number, because the mean of its divisors is an integer number (1439348724).

Almost surely, 255165351350 is an apocalyptic number.

55165351350 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 55165351350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69088738752).

55165351350 is an abundant number, since it is smaller than the sum of its proper divisors (83012126154).

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

55165351350 is a wasteful number, since it uses less digits than its factorization.

55165351350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3822 (or 3817 counting only the distinct ones).

The product of its (nonzero) digits is 168750, while the sum is 39.

The spelling of 55165351350 in words is "fifty-five billion, one hundred sixty-five million, three hundred fifty-one thousand, three hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 113 150 226 339 565 678 1130 1451 1695 2243 2825 2902 3390 4353 4486 5650 6729 7255 8475 8706 11215 13458 14510 16950 21765 22430 33645 36275 43530 56075 67290 72550 108825 112150 163963 168225 217650 253459 327926 336450 491889 506918 760377 819815 983778 1267295 1520754 1639630 2459445 2534590 3254593 3801885 4099075 4918890 6336475 6509186 7603770 8198150 9763779 12297225 12672950 16272965 19009425 19527558 24594450 32545930 38018850 48818895 81364825 97637790 162729650 244094475 367769009 488188950 735538018 1103307027 1838845045 2206614054 3677690090 5516535135 9194225225 11033070270 18388450450 27582675675 55165351350