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10005551055 = 335477919961
BaseRepresentation
bin10010101000110000…
…01001011111001111
3221211022012122202000
421110120021133033
5130442410113210
64332501403343
7502642531533
oct112430113717
927738178660
1010005551055
114274966665
121b32a09553
13c35bb2016
146acba9bc3
153d8607ac0
hex2546097cf

10005551055 has 64 divisors (see below), whose sum is σ = 18396979200. Its totient is φ = 5156386560.

The previous prime is 10005550999. The next prime is 10005551113. The reversal of 10005551055 is 55015550001.

10005551055 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 555 + 105 + 5 = 666.

10005551055 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10005551055 - 28 = 10005550799 is a prime.

It is a super-2 number, since 2×100055510552 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 491275 + ... + 511235.

It is an arithmetic number, because the mean of its divisors is an integer number (287452800).

Almost surely, 210005551055 is an apocalyptic number.

10005551055 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10005551055 is a deficient number, since it is larger than the sum of its proper divisors (8391428145).

10005551055 is a wasteful number, since it uses less digits than its factorization.

10005551055 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20101 (or 20095 counting only the distinct ones).

The product of its (nonzero) digits is 3125, while the sum is 27.

The spelling of 10005551055 in words is "ten billion, five million, five hundred fifty-one thousand, fifty-five".

Divisors: 1 3 5 9 15 27 45 47 79 135 141 235 237 395 423 705 711 1185 1269 2115 2133 3555 3713 6345 10665 11139 18565 19961 33417 55695 59883 99805 100251 167085 179649 299415 501255 538947 898245 938167 1576919 2694735 2814501 4690835 4730757 7884595 8443503 14072505 14192271 23653785 25330509 42217515 42576813 70961355 74115193 126652545 212884065 222345579 370575965 667036737 1111727895 2001110211 3335183685 10005551055