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55211966550 = 23352133145981
BaseRepresentation
bin110011011010111000…
…111100000001010110
312021111211001111122000
4303122320330001112
51401033230412200
641210344020130
73663126654336
oct633270740126
9167454044560
1055211966550
1121462796724
12a84a461646
13528b7b55c0
14295aa0b0c6
15168221b300
hexcdae3c056

55211966550 has 96 divisors (see below), whose sum is σ = 163842742560. Its totient is φ = 13590633600.

The previous prime is 55211966533. The next prime is 55211966561. The reversal of 55211966550 is 5566911255.

55211966550 is a `hidden beast` number, since 5 + 5 + 2 + 1 + 1 + 96 + 6 + 550 = 666.

55211966550 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×552119665502 (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 55211966496 and 55211966505.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1555441 + ... + 1590540.

It is an arithmetic number, because the mean of its divisors is an integer number (1706695235).

Almost surely, 255211966550 is an apocalyptic number.

55211966550 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

55211966550 is an abundant number, since it is smaller than the sum of its proper divisors (108630776010).

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

55211966550 is a wasteful number, since it uses less digits than its factorization.

55211966550 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3146015 (or 3146004 counting only the distinct ones).

The product of its (nonzero) digits is 405000, while the sum is 45.

The spelling of 55211966550 in words is "fifty-five billion, two hundred eleven million, nine hundred sixty-six thousand, five hundred fifty".

Divisors: 1 2 3 5 6 9 10 13 15 18 25 26 27 30 39 45 50 54 65 75 78 90 117 130 135 150 195 225 234 270 325 351 390 450 585 650 675 702 975 1170 1350 1755 1950 2925 3510 5850 8775 17550 3145981 6291962 9437943 15729905 18875886 28313829 31459810 40897753 47189715 56627658 78649525 81795506 84941487 94379430 122693259 141569145 157299050 169882974 204488765 235948575 245386518 283138290 368079777 408977530 424707435 471897150 613466295 707845725 736159554 849414870 1022443825 1104239331 1226932590 1415691450 1840398885 2044887650 2123537175 2208478662 3067331475 3680797770 4247074350 5521196655 6134662950 9201994425 11042393310 18403988850 27605983275 55211966550