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55777555504 = 24111923128319
BaseRepresentation
bin110011111100100110…
…011111010000110000
312022222020022101211001
4303330212133100300
51403213023234004
641342430331344
74013135253616
oct637446372060
9168866271731
1055777555504
1121722a81010
12a987959b54
13534ba23518
1429b1b976b6
1516b6bdd1a4
hexcfc99f430

55777555504 has 120 divisors (see below), whose sum is σ = 128443207680. Its totient is φ = 23243414400.

The previous prime is 55777555459. The next prime is 55777555511. The reversal of 55777555504 is 40555577755.

It is a happy number.

It is a super-2 number, since 2×557775555042 (a number of 22 digits) contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 1955457 + ... + 1983775.

It is an arithmetic number, because the mean of its divisors is an integer number (1070360064).

Almost surely, 255777555504 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 55777555504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64221603840).

55777555504 is an abundant number, since it is smaller than the sum of its proper divisors (72665652176).

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

55777555504 is a wasteful number, since it uses less digits than its factorization.

55777555504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28407 (or 28382 counting only the distinct ones).

The product of its (nonzero) digits is 21437500, while the sum is 55.

The spelling of 55777555504 in words is "fifty-five billion, seven hundred seventy-seven million, five hundred fifty-five thousand, five hundred four".

Divisors: 1 2 4 8 11 16 19 22 31 38 44 62 76 88 124 152 176 209 248 304 341 361 418 496 589 682 722 836 1178 1364 1444 1672 2356 2728 2888 3344 3971 4712 5456 5776 6479 7942 9424 11191 12958 15884 22382 25916 28319 31768 44764 51832 56638 63536 89528 103664 113276 123101 179056 226552 246202 311509 453104 492404 538061 623018 877889 984808 1076122 1246036 1755778 1969616 2152244 2492072 3511556 4304488 4984144 5918671 7023112 8608976 9656779 10223159 11837342 14046224 16679891 19313558 20446318 23674684 33359782 38627116 40892636 47349368 66719564 77254232 81785272 94698736 112454749 133439128 154508464 163570544 183478801 224909498 266878256 316917929 366957602 449818996 633835858 733915204 899637992 1267671716 1467830408 1799275984 2535343432 2935660816 3486097219 5070686864 6972194438 13944388876 27888777752 55777555504