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2556338065080 = 2335712111421989
BaseRepresentation
bin100101001100110001100…
…111110100111010111000
3100001101100121001210121120
4211030301213310322320
5313340340021040310
65234210540305240
7352455304014132
oct45146147647270
910041317053546
102556338065080
118a6156215448
12353528542220
131570a5585617
148ba28094052
1546769b1ab70
hex253319f4eb8

2556338065080 has 128 divisors (see below), whose sum is σ = 7813891929600. Its totient is φ = 668903155200.

The previous prime is 2556338065067. The next prime is 2556338065081. The reversal of 2556338065080 is 805608336552.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2556338065081) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1086726 + ... + 2508714.

It is an arithmetic number, because the mean of its divisors is an integer number (61046030700).

Almost surely, 22556338065080 is an apocalyptic number.

2556338065080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2556338065080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3906945964800).

2556338065080 is an abundant number, since it is smaller than the sum of its proper divisors (5257553864520).

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

2556338065080 is a wasteful number, since it uses less digits than its factorization.

2556338065080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1422285 (or 1422281 counting only the distinct ones).

The product of its (nonzero) digits is 5184000, while the sum is 51.

The spelling of 2556338065080 in words is "two trillion, five hundred fifty-six billion, three hundred thirty-eight million, sixty-five thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 71 120 142 211 213 284 355 422 426 568 633 710 844 852 1055 1065 1266 1420 1688 1704 2110 2130 2532 2840 3165 4220 4260 5064 6330 8440 8520 12660 14981 25320 29962 44943 59924 74905 89886 119848 149810 179772 224715 299620 359544 449430 599240 898860 1421989 1797720 2843978 4265967 5687956 7109945 8531934 11375912 14219890 17063868 21329835 28439780 34127736 42659670 56879560 85319340 100961219 170638680 201922438 300039679 302883657 403844876 504806095 600079358 605767314 807689752 900119037 1009612190 1200158716 1211534628 1500198395 1514418285 1800238074 2019224380 2400317432 2423069256 3000396790 3028836570 3600476148 4038448760 4500595185 6000793580 6057673140 7200952296 9001190370 12001587160 12115346280 18002380740 21302817209 36004761480 42605634418 63908451627 85211268836 106514086045 127816903254 170422537672 213028172090 255633806508 319542258135 426056344180 511267613016 639084516270 852112688360 1278169032540 2556338065080