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55545502133504 = 283726092247673
BaseRepresentation
bin11001010000100101100011…
…11011000110110100000000
321021200002122112202222112102
430220102301323012310000
524240024142021233004
6314045130145445532
714462013216002165
oct1450226173066400
9237602575688472
1055545502133504
1116775795982459
1262911103408a8
1324cbbc2897356
14da05b93d206c
15664ceca3d11e
hex3284b1ec6d00

55545502133504 has 72 divisors (see below), whose sum is σ = 113914321040520. Its totient is φ = 27011766878208.

The previous prime is 55545502133503. The next prime is 55545502133533. The reversal of 55545502133504 is 40533120554555.

It can be written as a sum of positive squares in 4 ways, for example, as 34359292422400 + 21186209711104 = 5861680^2 + 4602848^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55545502133503) 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 7 ways as a sum of consecutive naturals, for example, 23588612 + ... + 25836284.

It is an arithmetic number, because the mean of its divisors is an integer number (1582143347785).

Almost surely, 255545502133504 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 55545502133504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56957160520260).

55545502133504 is an abundant number, since it is smaller than the sum of its proper divisors (58368818907016).

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

55545502133504 is a wasteful number, since it uses less digits than its factorization.

55545502133504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2250335 (or 2250321 counting only the distinct ones).

The product of its (nonzero) digits is 4500000, while the sum is 47.

The spelling of 55545502133504 in words is "fifty-five trillion, five hundred forty-five billion, five hundred two million, one hundred thirty-three thousand, five hundred four".

Divisors: 1 2 4 8 16 32 37 64 74 128 148 256 296 592 1184 2368 2609 4736 5218 9472 10436 20872 41744 83488 96533 166976 193066 333952 386132 667904 772264 1544528 2247673 3089056 4495346 6178112 8990692 12356224 17981384 24712448 35962768 71925536 83163901 143851072 166327802 287702144 332655604 575404288 665311208 1330622416 2661244832 5322489664 5864178857 10644979328 11728357714 21289958656 23456715428 46913430856 93826861712 187653723424 216974617709 375307446848 433949235418 750614893696 867898470836 1501229787392 1735796941672 3471593883344 6943187766688 13886375533376 27772751066752 55545502133504