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55505115420264 = 233225720171487173
BaseRepresentation
bin11001001111011010010101…
…01100000001011001101000
321021112020101221001101012100
430213231022230001121220
524233343434021422024
6314014410434213400
714456053334415426
oct1447551254013150
9237466357041170
1055505115420264
111675a650703aa4
12628531aa24260
1324c81576760b3
14d9c66771c116
15663c371197c9
hex327b4ab01668

55505115420264 has 96 divisors (see below), whose sum is σ = 150986202910920. Its totient is φ = 18420564492288.

The previous prime is 55505115420217. The next prime is 55505115420373. The reversal of 55505115420264 is 46202451150555.

It is a happy number.

55505115420264 is a `hidden beast` number, since 5 + 5 + 5 + 0 + 511 + 54 + 20 + 2 + 64 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 44688449543364 + 10816665876900 = 6684942^2 + 3288870^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36578982 + ... + 38066154.

Almost surely, 255505115420264 is an apocalyptic number.

It is an amenable number.

55505115420264 is an abundant number, since it is smaller than the sum of its proper divisors (95481087490656).

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

55505115420264 is a wasteful number, since it uses less digits than its factorization.

55505115420264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1489459 (or 1489452 counting only the distinct ones).

The product of its (nonzero) digits is 1200000, while the sum is 45.

The spelling of 55505115420264 in words is "fifty-five trillion, five hundred five billion, one hundred fifteen million, four hundred twenty thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 257 514 771 1028 1542 2017 2056 2313 3084 4034 4626 6051 6168 8068 9252 12102 16136 18153 18504 24204 36306 48408 72612 145224 518369 1036738 1487173 1555107 2073476 2974346 3110214 4146952 4461519 4665321 5948692 6220428 8923038 9330642 11897384 12440856 13384557 17846076 18661284 26769114 35692152 37322568 53538228 107076456 382203461 764406922 1146610383 1528813844 2293220766 2999627941 3057627688 3439831149 4586441532 5999255882 6879662298 8998883823 9172883064 11998511764 13759324596 17997767646 23997023528 26996651469 27518649192 35995535292 53993302938 71991070584 107986605876 215973211752 770904380837 1541808761674 2312713142511 3083617523348 4625426285022 6167235046696 6938139427533 9250852570044 13876278855066 18501705140088 27752557710132 55505115420264