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10555050060 = 223552394427
BaseRepresentation
bin10011101010010000…
…10100100001001100
31000020121012002200000
421311020110201030
5133104043100220
64503211204300
7522364305462
oct116510244114
930217162600
1010555050060
114527061375
122066a46690
13cc29a8469
14721b68832
1541b99c390
hex27521484c

10555050060 has 144 divisors (see below), whose sum is σ = 34646766336. Its totient is φ = 2692274112.

The previous prime is 10555050059. The next prime is 10555050061. The reversal of 10555050060 is 6005055501.

10555050060 is a `hidden beast` number, since 1 + 0 + 5 + 550 + 50 + 0 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (10555050059) and next prime (10555050061).

It is a super-3 number, since 3×105550500603 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (10555050061) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 64567 + ... + 158993.

It is an arithmetic number, because the mean of its divisors is an integer number (240602544).

Almost surely, 210555050060 is an apocalyptic number.

10555050060 is a gapful number since it is divisible by the number (10) 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 10555050060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17323383168).

10555050060 is an abundant number, since it is smaller than the sum of its proper divisors (24091716276).

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

10555050060 is a wasteful number, since it uses less digits than its factorization.

10555050060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94474 (or 94460 counting only the distinct ones).

The product of its (nonzero) digits is 3750, while the sum is 27.

The spelling of 10555050060 in words is "ten billion, five hundred fifty-five million, fifty thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 27 30 36 45 46 54 60 69 81 90 92 108 115 135 138 162 180 207 230 243 270 276 324 345 405 414 460 486 540 621 690 810 828 972 1035 1215 1242 1380 1620 1863 2070 2430 2484 3105 3726 4140 4860 5589 6210 7452 9315 11178 12420 18630 22356 27945 37260 55890 94427 111780 188854 283281 377708 472135 566562 849843 944270 1133124 1416405 1699686 1888540 2171821 2549529 2832810 3399372 4249215 4343642 5099058 5665620 6515463 7648587 8498430 8687284 10198116 10859105 12747645 13030926 15297174 16996860 19546389 21718210 22945761 25495290 26061852 30594348 32577315 38242935 39092778 43436420 45891522 50990580 58639167 65154630 76485870 78185556 91783044 97731945 114728805 117278334 130309260 152971740 175917501 195463890 229457610 234556668 293195835 351835002 390927780 458915220 527752503 586391670 703670004 879587505 1055505006 1172783340 1759175010 2111010012 2638762515 3518350020 5277525030 10555050060