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55753528226004 = 22347171446040259
BaseRepresentation
bin11001010110101001000010…
…01111101011000011010100
321022101222121020120102010000
430223110201033223003110
524301431211211213004
6314324452310531300
714513026255421610
oct1453244117530324
9238358536512100
1055753528226004
1116845a36212754
1263054a7966b30
1325156c5963b8b
14daa6b1410340
1566a425913c39
hex32b5213eb0d4

55753528226004 has 120 divisors (see below), whose sum is σ = 176370638431680. Its totient is φ = 14992545394944.

The previous prime is 55753528226003. The next prime is 55753528226009. The reversal of 55753528226004 is 40062282535755.

55753528226004 is a `hidden beast` number, since 5 + 5 + 7 + 5 + 3 + 5 + 2 + 8 + 22 + 600 + 4 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55753528226003) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 722981574 + ... + 723058685.

It is an arithmetic number, because the mean of its divisors is an integer number (1469755320264).

Almost surely, 255753528226004 is an apocalyptic number.

55753528226004 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

55753528226004 is an abundant number, since it is smaller than the sum of its proper divisors (120617110205676).

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

55753528226004 is a wasteful number, since it uses less digits than its factorization.

55753528226004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1446040299 (or 1446040288 counting only the distinct ones).

The product of its (nonzero) digits is 20160000, while the sum is 54.

The spelling of 55753528226004 in words is "fifty-five trillion, seven hundred fifty-three billion, five hundred twenty-eight million, two hundred twenty-six thousand, four".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 27 28 34 36 42 51 54 63 68 81 84 102 108 119 126 153 162 189 204 238 252 306 324 357 378 459 476 567 612 714 756 918 1071 1134 1377 1428 1836 2142 2268 2754 3213 4284 5508 6426 9639 12852 19278 38556 1446040259 2892080518 4338120777 5784161036 8676241554 10122281813 13014362331 17352483108 20244563626 24582684403 26028724662 30366845439 39043086993 40489127252 49165368806 52057449324 60733690878 73748053209 78086173986 91100536317 98330737612 117129260979 121467381756 147496106418 156172347972 172078790821 182201072634 221244159627 234258521958 273301608951 294992212836 344157581642 364402145268 442488319254 468517043916 516236372463 546603217902 663732478881 688315163284 819904826853 884976638508 1032472744926 1093206435804 1327464957762 1548709117389 1639809653706 1991197436643 2064945489852 2654929915524 3097418234778 3279619307412 3982394873286 4646127352167 6194836469556 7964789746572 9292254704334 13938382056501 18584509408668 27876764113002 55753528226004