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55005110006 = 2711223261381
BaseRepresentation
bin110011001110100011…
…110101111011110110
312020222101211002210112
4303032203311323312
51400122302010011
641134034223022
73655035502130
oct631643657366
9166871732715
1055005110006
1121366a50300
12a7b1124a72
13525799a492
14293b362050
15166deaa58b
hexcce8f5ef6

55005110006 has 72 divisors (see below), whose sum is σ = 108350033232. Its totient is φ = 20498464800.

The previous prime is 55005109993. The next prime is 55005110051. The reversal of 55005110006 is 60001150055.

It is a super-2 number, since 2×550051100062 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 865436 + ... + 926816.

Almost surely, 255005110006 is an apocalyptic number.

55005110006 is a deficient number, since it is larger than the sum of its proper divisors (53344923226).

55005110006 is a wasteful number, since it uses less digits than its factorization.

55005110006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61458 (or 61424 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 23.

The spelling of 55005110006 in words is "fifty-five billion, five million, one hundred ten thousand, six".

Divisors: 1 2 7 11 14 22 23 46 77 121 154 161 242 253 322 506 529 847 1058 1694 1771 2783 3542 3703 5566 5819 7406 11638 19481 38962 40733 61381 64009 81466 122762 128018 429667 448063 675191 859334 896126 1350382 1411763 2823526 4726337 7427101 9452674 9882341 14854202 15529393 19764682 31058786 32470549 51989707 64941098 103979414 108705751 170823323 217411502 227293843 341646646 357176039 454587686 714352078 1195763261 2391526522 2500232273 3928936429 5000464546 7857872858 27502555003 55005110006