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55685803440 = 24351931393929
BaseRepresentation
bin110011110111001000…
…011110110110110000
312022201211122220122110
4303313020132312300
51403021031202230
641325352005320
74010642343111
oct636710366660
9168654586573
1055685803440
1121686203363
12a961090840
135335a09c67
1429a3912208
1516adb174b0
hexcf721edb0

55685803440 has 160 divisors (see below), whose sum is σ = 187573708800. Its totient is φ = 13614151680.

The previous prime is 55685803423. The next prime is 55685803469. The reversal of 55685803440 is 4430858655.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 55685803440.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55605 + ... + 338324.

It is an arithmetic number, because the mean of its divisors is an integer number (1172335680).

Almost surely, 255685803440 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 55685803440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93786854400).

55685803440 is an abundant number, since it is smaller than the sum of its proper divisors (131887905360).

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

55685803440 is a wasteful number, since it uses less digits than its factorization.

55685803440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 393995 (or 393989 counting only the distinct ones).

The product of its (nonzero) digits is 2304000, while the sum is 48.

The spelling of 55685803440 in words is "fifty-five billion, six hundred eighty-five million, eight hundred three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 31 38 40 48 57 60 62 76 80 93 95 114 120 124 152 155 186 190 228 240 248 285 304 310 372 380 456 465 496 570 589 620 744 760 912 930 1140 1178 1240 1488 1520 1767 1860 2280 2356 2480 2945 3534 3720 4560 4712 5890 7068 7440 8835 9424 11780 14136 17670 23560 28272 35340 47120 70680 141360 393929 787858 1181787 1575716 1969645 2363574 3151432 3939290 4727148 5908935 6302864 7484651 7878580 9454296 11817870 12211799 14969302 15757160 18908592 22453953 23635740 24423598 29938604 31514320 36635397 37423255 44907906 47271480 48847196 59877208 61058995 73270794 74846510 89815812 94542960 97694392 112269765 119754416 122117990 146541588 149693020 179631624 183176985 195388784 224539530 232024181 244235980 293083176 299386040 359263248 366353970 449079060 464048362 488471960 586166352 598772080 696072543 732707940 898158120 928096724 976943920 1160120905 1392145086 1465415880 1796316240 1856193448 2320241810 2784290172 2930831760 3480362715 3712386896 4640483620 5568580344 6960725430 9280967240 11137160688 13921450860 18561934480 27842901720 55685803440