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55005005055 = 35711133663337
BaseRepresentation
bin110011001110100011…
…011100010011111111
312020222101121202211110
4303032203130103333
51400122240130210
641134032053103
73655034554140
oct631643342377
9166871552743
1055005005055
1121366989470
12a7b1094193
135257961790
14293b335ac7
15166de89420
hexcce8dc4ff

55005005055 has 64 divisors (see below), whose sum is σ = 118164630528. Its totient is φ = 21100815360.

The previous prime is 55005005047. The next prime is 55005005063. The reversal of 55005005055 is 55050050055.

It is an interprime number because it is at equal distance from previous prime (55005005047) and next prime (55005005063).

It is not a de Polignac number, because 55005005055 - 23 = 55005005047 is a prime.

It is a super-2 number, since 2×550050050552 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1816654 + ... + 1846683.

It is an arithmetic number, because the mean of its divisors is an integer number (1846322352).

Almost surely, 255005005055 is an apocalyptic number.

55005005055 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

55005005055 is an abundant number, since it is smaller than the sum of its proper divisors (63159625473).

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

55005005055 is a wasteful number, since it uses less digits than its factorization.

55005005055 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3663376.

The product of its (nonzero) digits is 15625, while the sum is 30.

The spelling of 55005005055 in words is "fifty-five billion, five million, five thousand, fifty-five".

Divisors: 1 3 5 7 11 13 15 21 33 35 39 55 65 77 91 105 143 165 195 231 273 385 429 455 715 1001 1155 1365 2145 3003 5005 15015 3663337 10990011 18316685 25643359 40296707 47623381 54950055 76930077 120890121 128216795 142870143 201483535 238116905 282076949 333363667 384650385 523857191 604450605 714350715 846230847 1000091001 1410384745 1571571573 1666818335 2619285955 3667000337 4231154235 5000455005 7857857865 11001001011 18335001685 55005005055