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55870080080 = 2454127761493
BaseRepresentation
bin110100000010000111…
…011100010001010000
312100012200102010200012
4310002013130101100
51403410220030310
641355533414052
74015340562563
oct640207342120
9170180363605
1055870080080
1121770227101
12a9b293a328
135364c4a5a9
1429c01a04da
1516bedb7c05
hexd021dc450

55870080080 has 80 divisors (see below), whose sum is σ = 133548733584. Its totient is φ = 21723893760.

The previous prime is 55870080073. The next prime is 55870080107. The reversal of 55870080080 is 8008007855.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 2848570384 + 53021509696 = 53372^2 + 230264^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×558700800802 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 877814 + ... + 939306.

Almost surely, 255870080080 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 55870080080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66774366792).

55870080080 is an abundant number, since it is smaller than the sum of its proper divisors (77678653504).

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

55870080080 is a wasteful number, since it uses less digits than its factorization.

55870080080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61824 (or 61818 counting only the distinct ones).

The product of its (nonzero) digits is 89600, while the sum is 41.

The spelling of 55870080080 in words is "fifty-five billion, eight hundred seventy million, eighty thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 40 41 80 82 164 205 277 328 410 554 656 820 1108 1385 1640 2216 2770 3280 4432 5540 11080 11357 22160 22714 45428 56785 61493 90856 113570 122986 181712 227140 245972 307465 454280 491944 614930 908560 983888 1229860 2459720 2521213 4919440 5042426 10084852 12606065 17033561 20169704 25212130 34067122 40339408 50424260 68134244 85167805 100848520 136268488 170335610 201697040 272536976 340671220 681342440 698376001 1362684880 1396752002 2793504004 3491880005 5587008008 6983760010 11174016016 13967520020 27935040040 55870080080