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10055208174 = 23112312291951
BaseRepresentation
bin10010101110101011…
…00100110011101110
3221221202122111111120
421113111210303232
5131043113130144
64341434001410
7504114600504
oct112725446356
927852574446
1010055208174
11429a9a2800
121b47576266
13c4327a32b
146b5614674
153dcb65e19
hex257564cee

10055208174 has 96 divisors (see below), whose sum is σ = 22929285120. Its totient is φ = 2934360000.

The previous prime is 10055208167. The next prime is 10055208187. The reversal of 10055208174 is 47180255001.

It is a super-2 number, since 2×100552081742 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a Curzon number.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 5152899 + ... + 5154849.

It is an arithmetic number, because the mean of its divisors is an integer number (238846720).

Almost surely, 210055208174 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10055208174, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11464642560).

10055208174 is an abundant number, since it is smaller than the sum of its proper divisors (12874076946).

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

10055208174 is a wasteful number, since it uses less digits than its factorization.

10055208174 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2238 (or 2227 counting only the distinct ones).

The product of its (nonzero) digits is 11200, while the sum is 33.

The spelling of 10055208174 in words is "ten billion, fifty-five million, two hundred eight thousand, one hundred seventy-four".

Divisors: 1 2 3 6 11 22 31 33 62 66 93 121 186 229 242 341 363 458 682 687 726 1023 1374 1951 2046 2519 3751 3902 5038 5853 7099 7502 7557 11253 11706 14198 15114 21297 21461 22506 27709 42594 42922 55418 60481 64383 78089 83127 120962 128766 156178 166254 181443 234267 236071 362886 446779 468534 472142 665291 708213 858979 893558 1330582 1340337 1416426 1717958 1995873 2576937 2680674 3991746 4914569 5153874 7318201 9829138 13850149 14636402 14743707 21954603 27700298 29487414 41550447 43909206 54060259 83100894 108120518 152351639 162180777 304703278 324361554 457054917 914109834 1675868029 3351736058 5027604087 10055208174