Search a number
-
+
55782765126 = 233111493072053
BaseRepresentation
bin110011111100111010…
…010111001001000110
312022222121010002002000
4303330322113021012
51403220341441001
641343134130130
74013230452204
oct637472271106
9168877102060
1055782765126
1121725a0a090
12a989650946
13534cb2883a
1429b2752074
1516b73bba86
hexcfce97246

55782765126 has 128 divisors (see below), whose sum is σ = 136648512000. Its totient is φ = 16727575680.

The previous prime is 55782765079. The next prime is 55782765151. The reversal of 55782765126 is 62156728755.

55782765126 is a `hidden beast` number, since 5 + 57 + 8 + 2 + 76 + 512 + 6 = 666.

It is a super-2 number, since 2×557827651262 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 27170316 + ... + 27172368.

It is an arithmetic number, because the mean of its divisors is an integer number (1067566500).

Almost surely, 255782765126 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55782765126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68324256000).

55782765126 is an abundant number, since it is smaller than the sum of its proper divisors (80865746874).

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

55782765126 is a wasteful number, since it uses less digits than its factorization.

55782765126 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2531 (or 2525 counting only the distinct ones).

The product of its digits is 7056000, while the sum is 54.

The spelling of 55782765126 in words is "fifty-five billion, seven hundred eighty-two million, seven hundred sixty-five thousand, one hundred twenty-six".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 149 198 297 298 307 447 594 614 894 921 1341 1639 1842 2053 2682 2763 3278 3377 4023 4106 4917 5526 6159 6754 8046 8289 9834 10131 12318 14751 16578 18477 20262 22583 29502 30393 36954 44253 45166 45743 55431 60786 67749 88506 91179 91486 110862 135498 137229 182358 203247 274458 305897 406494 411687 503173 609741 611794 630271 823374 917691 1006346 1219482 1235061 1260542 1509519 1835382 1890813 2470122 2753073 3019038 3364867 3781626 4528557 5506146 5672439 6729734 6932981 8259219 9057114 10094601 11344878 13585671 13865962 16518438 17017317 20189202 20798943 27171342 30283803 34034634 41597886 60567606 62396829 90851409 93910379 124793658 181702818 187190487 187820758 281731137 374380974 563462274 845193411 1033014169 1690386822 2066028338 2535580233 3099042507 5071160466 6198085014 9297127521 18594255042 27891382563 55782765126