Search a number
-
+
27756723990 = 23517195235477
BaseRepresentation
bin11001110110011011…
…011111111100010110
32122122102011200012110
4121312123133330112
5423321210131430
620430134531450
72001560155362
oct316633377426
978572150173
1027756723990
1110853a46616
125467806b86
1328046c0a48
1414b45442a2
15ac6c0e7b0
hex6766dff16

27756723990 has 128 divisors (see below), whose sum is σ = 74402634240. Its totient is φ = 6585919488.

The previous prime is 27756723979. The next prime is 27756724019. The reversal of 27756723990 is 9932765772.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a self number, because there is not a number n which added to its sum of digits gives 27756723990.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5065132 + ... + 5070608.

It is an arithmetic number, because the mean of its divisors is an integer number (581270580).

Almost surely, 227756723990 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27756723990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37201317120).

27756723990 is an abundant number, since it is smaller than the sum of its proper divisors (46645910250).

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

27756723990 is a wasteful number, since it uses less digits than its factorization.

27756723990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6046.

The product of its (nonzero) digits is 10001880, while the sum is 57.

The spelling of 27756723990 in words is "twenty-seven billion, seven hundred fifty-six million, seven hundred twenty-three thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 10 15 17 19 30 34 38 51 57 85 95 102 114 170 190 255 285 323 510 523 570 646 969 1046 1569 1615 1938 2615 3138 3230 4845 5230 5477 7845 8891 9690 9937 10954 15690 16431 17782 19874 26673 27385 29811 32862 44455 49685 53346 54770 59622 82155 88910 93109 99370 104063 133365 149055 164310 168929 186218 208126 266730 279327 298110 312189 337858 465545 506787 520315 558654 624378 844645 931090 1013574 1040630 1396635 1560945 1689290 1769071 2533935 2793270 2864471 3121890 3538142 5067870 5307213 5728942 8593413 8845355 10614426 14322355 17186826 17690710 26536065 28644710 42967065 48696007 53072130 54424949 85934130 97392014 108849898 146088021 163274847 243480035 272124745 292176042 326549694 486960070 544249490 730440105 816374235 925224133 1460880210 1632748470 1850448266 2775672399 4626120665 5551344798 9252241330 13878361995 27756723990