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27055217540 = 225131812572237
BaseRepresentation
bin11001001100100111…
…011101101110000100
32120211112011110021002
4121030213131232010
5420402113430130
620232355112432
71645311361151
oct311447355604
976745143232
1027055217540
1110523a6841a
1252b08a2718
132722274a80
1414492d7228
15a85340b45
hex64c9ddb84

27055217540 has 96 divisors (see below), whose sum is σ = 61791466464. Its totient is φ = 9891348480.

The previous prime is 27055217503. The next prime is 27055217603. The reversal of 27055217540 is 4571255072.

It can be written as a sum of positive squares in 16 ways, for example, as 6466411396 + 20588806144 = 80414^2 + 143488^2 .

It is a super-2 number, since 2×270552175402 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 27055217494 and 27055217503.

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, 12093302 + ... + 12095538.

It is an arithmetic number, because the mean of its divisors is an integer number (643661109).

Almost surely, 227055217540 is an apocalyptic number.

27055217540 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 27055217540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30895733232).

27055217540 is an abundant number, since it is smaller than the sum of its proper divisors (34736248924).

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

27055217540 is a wasteful number, since it uses less digits than its factorization.

27055217540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2697 (or 2695 counting only the distinct ones).

The product of its (nonzero) digits is 98000, while the sum is 38.

The spelling of 27055217540 in words is "twenty-seven billion, fifty-five million, two hundred seventeen thousand, five hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 181 257 260 362 514 724 905 1028 1285 1810 2237 2353 2570 3341 3620 4474 4706 5140 6682 8948 9412 11185 11765 13364 16705 22370 23530 29081 33410 44740 46517 47060 58162 66820 93034 116324 145405 186068 232585 290810 404897 465170 574909 581620 604721 809794 930340 1149818 1209442 1619588 2024485 2299636 2418884 2874545 3023605 4048970 5263661 5749090 6047210 7473817 8097940 10527322 11498180 12094420 14947634 21054644 26318305 29895268 37369085 52636610 74738170 104058529 105273220 149476340 208117058 416234116 520292645 1040585290 1352760877 2081170580 2705521754 5411043508 6763804385 13527608770 27055217540