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55816484240 = 24511128949207
BaseRepresentation
bin110011111110111010…
…111111010110010000
312100001221120012000002
4303332322333112100
51403303004443430
641350340545132
74014120200516
oct637672772620
9170057505002
1055816484240
1121742a4a820
12a9989b21a8
135356b0358a
1429b700c4b6
1516ba32c845
hexcfeebf590

55816484240 has 80 divisors (see below), whose sum is σ = 141683610240. Its totient is φ = 20280744960.

The previous prime is 55816484231. The next prime is 55816484287. The reversal of 55816484240 is 4248461855.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1109717 + ... + 1158923.

It is an arithmetic number, because the mean of its divisors is an integer number (1771045128).

Almost surely, 255816484240 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 55816484240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70841805120).

55816484240 is an abundant number, since it is smaller than the sum of its proper divisors (85867126000).

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

55816484240 is a wasteful number, since it uses less digits than its factorization.

55816484240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50520 (or 50514 counting only the distinct ones).

The product of its (nonzero) digits is 1228800, while the sum is 47.

The spelling of 55816484240 in words is "fifty-five billion, eight hundred sixteen million, four hundred eighty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 1289 2578 5156 6445 10312 12890 14179 20624 25780 28358 49207 51560 56716 70895 98414 103120 113432 141790 196828 226864 246035 283580 393656 492070 541277 567160 787312 984140 1082554 1134320 1968280 2165108 2706385 3936560 4330216 5412770 8660432 10825540 21651080 43302160 63427823 126855646 253711292 317139115 507422584 634278230 697706053 1014845168 1268556460 1395412106 2537112920 2790824212 3488530265 5074225840 5581648424 6977060530 11163296848 13954121060 27908242120 55816484240