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55136255220 = 223252937285473
BaseRepresentation
bin110011010110011000…
…000111110011110100
312021022112120222012200
4303112120013303310
51400404340131340
641155041144500
73661220302524
oct632630076364
9167275528180
1055136255220
1121423a84682
12a82902b130
135278bc72b7
14295093d684
15167a763330
hexcd6607cf4

55136255220 has 144 divisors (see below), whose sum is σ = 177690436560. Its totient is φ = 13812277248.

The previous prime is 55136255189. The next prime is 55136255221. The reversal of 55136255220 is 2255263155.

55136255220 is a `hidden beast` number, since 5 + 5 + 1 + 3 + 625 + 5 + 2 + 20 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 8205098724 + 46931156496 = 90582^2 + 216636^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55136255221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 50404 + ... + 335876.

It is an arithmetic number, because the mean of its divisors is an integer number (1233961365).

Almost surely, 255136255220 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 55136255220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88845218280).

55136255220 is an abundant number, since it is smaller than the sum of its proper divisors (122554181340).

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

55136255220 is a wasteful number, since it uses less digits than its factorization.

55136255220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285554 (or 285549 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 36.

It can be divided in two parts, 5513625 and 5220, that multiplied together give a square (28781122500 = 1696502).

The spelling of 55136255220 in words is "fifty-five billion, one hundred thirty-six million, two hundred fifty-five thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 29 30 36 37 45 58 60 74 87 90 111 116 145 148 174 180 185 222 261 290 333 348 370 435 444 522 555 580 666 740 870 1044 1073 1110 1305 1332 1665 1740 2146 2220 2610 3219 3330 4292 5220 5365 6438 6660 9657 10730 12876 16095 19314 21460 32190 38628 48285 64380 96570 193140 285473 570946 856419 1141892 1427365 1712838 2569257 2854730 3425676 4282095 5138514 5709460 8278717 8564190 10277028 10562501 12846285 16557434 17128380 21125002 24836151 25692570 31687503 33114868 41393585 42250004 49672302 51385140 52812505 63375006 74508453 82787170 95062509 99344604 105625010 124180755 126750012 149016906 158437515 165574340 190125018 211250020 248361510 298033812 306312529 316875030 372542265 380250036 475312545 496723020 612625058 633750060 745084530 918937587 950625090 1225250116 1490169060 1531562645 1837875174 1901250180 2756812761 3063125290 3675750348 4594687935 5513625522 6126250580 9189375870 11027251044 13784063805 18378751740 27568127610 55136255220