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54551588778380 = 22529273101439883
BaseRepresentation
bin11000110011101010010000…
…00100100011000110001100
321011011002012000110011011002
430121311020010203012030
524122233123211402010
6312004353125115432
714330136136611401
oct1431651004430614
9234132160404132
1054551588778380
1116422220787991
126150568858b78
132459267613335
14d6844d4b02a8
1564902a8271a5
hex319d4812318c

54551588778380 has 144 divisors (see below), whose sum is σ = 121461181811424. Its totient is φ = 20573808998400.

The previous prime is 54551588778311. The next prime is 54551588778383. The reversal of 54551588778380 is 8387788515545.

It is a super-3 number, since 3×545515887783803 (a number of 42 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 54551588778298 and 54551588778307.

It is not an unprimeable number, because it can be changed into a prime (54551588778383) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 123793919 + ... + 124233801.

It is an arithmetic number, because the mean of its divisors is an integer number (843480429246).

Almost surely, 254551588778380 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 54551588778380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60730590905712).

54551588778380 is an abundant number, since it is smaller than the sum of its proper divisors (66909593033044).

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

54551588778380 is a wasteful number, since it uses less digits than its factorization.

54551588778380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 440124 (or 440093 counting only the distinct ones).

The product of its (nonzero) digits is 1505280000, while the sum is 74.

The spelling of 54551588778380 in words is "fifty-four trillion, five hundred fifty-one billion, five hundred eighty-eight million, seven hundred seventy-eight thousand, three hundred eighty".

Divisors: 1 2 4 5 10 20 29 58 73 101 116 145 146 202 290 292 365 404 505 580 730 841 1010 1460 1682 2020 2117 2929 3364 4205 4234 5858 7373 8410 8468 10585 11716 14645 14746 16820 21170 29290 29492 36865 42340 58580 61393 73730 84941 122786 147460 169882 213817 245572 306965 339764 424705 427634 439883 613930 849410 855268 879766 1069085 1227860 1698820 1759532 2138170 2199415 4276340 4398830 6200693 8797660 12401386 12756607 24802772 25513214 31003465 32111459 44428183 51026428 62006930 63783035 64222918 88856366 124013860 127566070 128445836 160557295 177712732 222140915 255132140 321114590 369941603 444281830 642229180 739883206 888563660 931232311 1288417307 1479766412 1849708015 1862464622 2576834614 3243257359 3699416030 3724929244 4656161555 5153669228 6442086535 6486514718 7398832060 9312323110 12884173070 12973029436 16216286795 18624646220 25768346140 27005737019 32432573590 37364101903 54011474038 64865147180 74728203806 94054463411 108022948076 135028685095 149456407612 186820509515 188108926822 270057370190 373641019030 376217853644 470272317055 540114740380 747282038060 940544634110 1881089268220 2727579438919 5455158877838 10910317755676 13637897194595 27275794389190 54551588778380