Search a number
-
+
55781130328 = 23711236758763
BaseRepresentation
bin110011111100110100…
…001000000001011000
312022222111001000112221
4303330310020001120
51403214432132303
641343035113424
74013210533060
oct637464100130
9168874030487
1055781130328
1121724aa2910
12a988ba2874
13534c6a56c1
1429b24483a0
1516b71974bd
hexcfcd08058

55781130328 has 128 divisors (see below), whose sum is σ = 138100101120. Its totient is φ = 20477381760.

The previous prime is 55781130311. The next prime is 55781130341. The reversal of 55781130328 is 82303118755.

It is a super-2 number, since 2×557811303282 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

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, 919875 + ... + 978637.

It is an arithmetic number, because the mean of its divisors is an integer number (1078907040).

Almost surely, 255781130328 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 55781130328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69050050560).

55781130328 is an abundant number, since it is smaller than the sum of its proper divisors (82318970792).

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

55781130328 is a wasteful number, since it uses less digits than its factorization.

55781130328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58877 (or 58873 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 43.

The spelling of 55781130328 in words is "fifty-five billion, seven hundred eighty-one million, one hundred thirty thousand, three hundred twenty-eight".

Divisors: 1 2 4 7 8 11 14 22 23 28 44 46 56 67 77 88 92 134 154 161 184 253 268 308 322 469 506 536 616 644 737 938 1012 1288 1474 1541 1771 1876 2024 2948 3082 3542 3752 5159 5896 6164 7084 10318 10787 12328 14168 16951 20636 21574 33902 41272 43148 58763 67804 86296 117526 118657 135608 235052 237314 411341 470104 474628 646393 822682 949256 1292786 1351549 1645364 2585572 2703098 3290728 3937121 4524751 5171144 5406196 7874242 9049502 9460843 10812392 14867039 15748484 18099004 18921686 27559847 29734078 31496968 36198008 37843372 43308331 55119694 59468156 75686744 86616662 90553783 104069273 110239388 118936312 173233324 181107566 208138546 220478776 303158317 346466648 362215132 416277092 606316634 633876481 724430264 832554184 996091613 1212633268 1267752962 1992183226 2425266536 2535505924 3984366452 5071011848 6972641291 7968732904 13945282582 27890565164 55781130328