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55696741440 = 2635214327073
BaseRepresentation
bin110011110111110010…
…001101010001000000
312022202121020121202120
4303313302031101000
51403031331211230
641330422244240
74011134330244
oct636762152100
9168677217676
1055696741440
11216913a422a
12a964886680
135338069752
1429a515c424
1516aea78310
hexcf7c8d440

55696741440 has 112 divisors (see below), whose sum is σ = 176926207488. Its totient is φ = 14844985344.

The previous prime is 55696741403. The next prime is 55696741459. The reversal of 55696741440 is 4414769655.

It is a happy number.

It is an unprimeable number.

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, 2043744 + ... + 2070816.

Almost surely, 255696741440 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 55696741440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88463103744).

55696741440 is an abundant number, since it is smaller than the sum of its proper divisors (121229466048).

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

55696741440 is a wasteful number, since it uses less digits than its factorization.

55696741440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29236 (or 29226 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 51.

The spelling of 55696741440 in words is "fifty-five billion, six hundred ninety-six million, seven hundred forty-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 2143 4286 6429 8572 10715 12858 17144 21430 25716 27073 32145 34288 42860 51432 54146 64290 68576 81219 85720 102864 108292 128580 135365 137152 162438 171440 205728 216584 257160 270730 324876 342880 406095 411456 433168 514320 541460 649752 685760 812190 866336 1028640 1082920 1299504 1624380 1732672 2057280 2165840 2599008 3248760 4331680 5198016 6497520 8663360 12995040 25990080 58017439 116034878 174052317 232069756 290087195 348104634 464139512 580174390 696209268 870261585 928279024 1160348780 1392418536 1740523170 1856558048 2320697560 2784837072 3481046340 3713116096 4641395120 5569674144 6962092680 9282790240 11139348288 13924185360 18565580480 27848370720 55696741440