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55066352005504 = 277593829125017
BaseRepresentation
bin11001000010101001000100…
…10110011011000110000000
321012222021212202021111202101
430201110202112123012000
524204201342103134004
6313041044411400144
714412261352055410
oct1441244226330600
9235867782244671
1055066352005504
1116600566148434
126214289a53054
132495972219158
14d853232c2640
1565760759eba4
hex32152259b180

55066352005504 has 128 divisors (see below), whose sum is σ = 125738203694400. Its totient is φ = 23531459641344.

The previous prime is 55066352005451. The next prime is 55066352005507. The reversal of 55066352005504 is 40550025366055.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55066352005507) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 440408404 + ... + 440533420.

Almost surely, 255066352005504 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 55066352005504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62869101847200).

55066352005504 is an abundant number, since it is smaller than the sum of its proper divisors (70671851688896).

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

55066352005504 is a wasteful number, since it uses less digits than its factorization.

55066352005504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126460 (or 126448 counting only the distinct ones).

The product of its (nonzero) digits is 2700000, while the sum is 46.

The spelling of 55066352005504 in words is "fifty-five trillion, sixty-six billion, three hundred fifty-two million, five thousand, five hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 448 593 829 896 1186 1658 2372 3316 4151 4744 5803 6632 8302 9488 11606 13264 16604 18976 23212 26528 33208 37952 46424 53056 66416 75904 92848 106112 125017 132832 185696 250034 265664 371392 491597 500068 531328 742784 875119 983194 1000136 1750238 1966388 2000272 3441179 3500476 3932776 4000544 6882358 7000952 7865552 8001088 13764716 14001904 15731104 16002176 27529432 28003808 31462208 55058864 56007616 62924416 74135081 103639093 110117728 112015232 148270162 207278186 220235456 296540324 414556372 440470912 518945567 593080648 725473651 829112744 1037891134 1186161296 1450947302 1658225488 2075782268 2372322592 2901894604 3316450976 4151564536 4744645184 5803789208 6632901952 8303129072 9489290368 11607578416 13265803904 16606258144 23215156832 33212516288 46430313664 61457982149 66425032576 92860627328 122915964298 245831928596 430205875043 491663857192 860411750086 983327714384 1720823500172 1966655428768 3441647000344 3933310857536 6883294000688 7866621715072 13766588001376 27533176002752 55066352005504