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55076444720 = 24511374141257
BaseRepresentation
bin110011010010110011…
…111101101000110000
312021011101001021121222
4303102303331220300
51400244032212340
641145103204212
73656563025063
oct632263755060
9167141037558
1055076444720
11213a3243110
12a810ba6668
1352696b567b
142946a108da
15167539b8b5
hexcd2cfda30

55076444720 has 160 divisors (see below), whose sum is σ = 146972218176. Its totient is φ = 19010764800.

The previous prime is 55076444719. The next prime is 55076444741. The reversal of 55076444720 is 2744467055.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1314332 + ... + 1355588.

Almost surely, 255076444720 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 55076444720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73486109088).

55076444720 is an abundant number, since it is smaller than the sum of its proper divisors (91895773456).

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

55076444720 is a wasteful number, since it uses less digits than its factorization.

55076444720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41359 (or 41353 counting only the distinct ones).

The product of its (nonzero) digits is 940800, while the sum is 44.

The spelling of 55076444720 in words is "fifty-five billion, seventy-six million, four hundred forty-four thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 37 40 41 44 55 74 80 82 88 110 148 164 176 185 205 220 296 328 370 407 410 440 451 592 656 740 814 820 880 902 1480 1517 1628 1640 1804 2035 2255 2960 3034 3256 3280 3608 4070 4510 6068 6512 7216 7585 8140 9020 12136 15170 16280 16687 18040 24272 30340 32560 33374 36080 41257 60680 66748 82514 83435 121360 133496 165028 166870 206285 266992 330056 333740 412570 453827 660112 667480 825140 907654 1334960 1526509 1650280 1691537 1815308 2269135 3053018 3300560 3383074 3630616 4538270 6106036 6766148 7261232 7632545 8457685 9076540 12212072 13532296 15265090 16791599 16915370 18153080 18606907 24424144 27064592 30530180 33583198 33830740 36306160 37213814 61060360 62586869 67166396 67661480 74427628 83957995 93034535 122120720 125173738 134332792 135322960 148855256 167915990 186069070 250347476 268665584 297710512 312934345 335831980 372138140 500694952 625868690 671663960 688455559 744276280 1001389904 1251737380 1343327920 1376911118 1488552560 2503474760 2753822236 3442277795 5006949520 5507644472 6884555590 11015288944 13769111180 27538222360 55076444720